Describe the steps necessary to solve the following system equations:

-3x - 4y = 2 and 3x + 3y = -3

Answers

Answer 1

Answer:

(- 2, 1 )

Step-by-step explanation:

Given the 2 equations

- 3x - 4y = 2 → (1)

3x + 3y = - 3 → (2)

Adding the 2 equations term by term will eliminate the x- term, that is

0 - y = - 1

- y = - 1 ( multiply both sides by - 1 )

y = 1

Substitute y = 1 into either of the 2 equations and solve for x

Substituting into (2)

3x + 3(1) = - 3

3x + 3 = - 3 ( subtract 3 from both sides )

3x = - 6 ( divide both sides by 3 )

x = - 2

solution is (- 2, 1 )

Answer 2

Answer:

x = -2 and y = 1

Step-by-step explanation:

3x + 3y = -3, x + y = -1,  x = -y -1

-3(-y-1) - 4y = 2, 3y + 3 - 4y - 2 = 0

-y +1 = 0, y = 1

x + y = -1, x + 1 = -1, x = -2


Related Questions

An airplane can ascend at a rate of 54 1/2 meters in 2/3 of a second. How many meters can the airplane ascend in one second?

Answers

Answer:

The airplane ascends [tex]81\,\frac{3}{4}[/tex] meters in one second.

Step-by-step explanation:

Given that the airplane ascends [tex]54\,\frac{1}{2}[/tex] ([tex]\frac{109}{2}[/tex]) meters in [tex]\frac{2}{3}[/tex] seconds, we calculate the ascent rate of the airplane by simple rule of three:

[tex]x = \frac{\frac{109}{2}\,m }{\frac{2}{3}\,s } \times 1\,s[/tex]

[tex]x = \frac{327}{4}\,m[/tex]

[tex]x = 81\,\frac{3}{4}\,m[/tex]

The airplane ascends [tex]81\,\frac{3}{4}[/tex] meters in one second.

5 out of 40 randomly selected students at Oxford Middle School stated that they would like to have a school uniform policy. Based on those results, about how many students out of the 992 enrolled would you expect to want a school uniform policy?​

Answers

Answer:

124

Step-by-step explanation:

5 out of 40 = ⅛ of the students stated they would like to have a school uniform policy.

992 × ⅛ = 124

Can somebody pls help me with problems 16 and 17? I’m in a rush...thx

Answers

Question 16 = Yes
Question 17 = No
16 I believe is Yes and 17 I believe is no

Help please............................​

Answers

Answer:

C

Step-by-step explanation:

m∠7=m∠3

3x-10=2x+5

x=15

m∠3=2(15)+5

      =35

m∠1=m∠3 (vert. opp. ∠)

       = 35

I think it’s C because if you add and do the equations all at the top u get the same answer as C which is what I did :)

Help please please please! WILL MARK BRAINLIST

Answers

Answer: I think it is A or B

Step-by-step explanation:

a cyclist travels for 5 days and covers 375km in total.
He covers 67km 78km 46km and 89km on the fist 4 days .How far does he travel on day 5 ​

Answers

Answer:

95km

Step-by-step explanation:

5 days = 375km

4 days = 67km + 78km + 46km + 89km= 280km

5 days - 4days = the 5th day

375km - 280km = 95km

How do we solve this?

Answers

Answer:

B is (3, 10)

Step-by-step explanation:

The midpoint of coordinates of the 2 points (x1, y1( and (x2, y2) is

(x1 + x^2) / 2 , (y1 + y2)/2.

So if (x, y) are the coordinates of B we have:

(7 + x)/2 + (2 + y)/2 = 5 + 6

So 7 + x = 2*5 so x = 3

AND 2 + Y = 12 SO y = 10.

Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet?​

Answers

Answer:

152

Step-by-step explanation:

the second one, ((6 x 5) x 4) +((5 x 4) x 2) = 160

the third one, ((7 x 6) x 4) + (6 x 4) x 2) = 216

the fourth one, ((8 x 4) x 4) + ((4 x 3) x 2) = 152

Step-by-step explanation:

I HOPE MY ANSWER HELPS U;)

QUESTIONS ARE DOWN BELOW!!! ALL HELP WILL BE APPRECIATED AND I WILL TRY TO MARK BRAINLIEST (IF I CAN)

Answers

Answer: 90 and 110

Step-by-step explanation:

What is the value of the expression below if x =6 and y=4?
(×+y)+5

Answers

Answer:

15

Step-by-step explanation:

(x+y)+5

(6+4)+5

(10)+5

15

9. Which of these was an example of US industrial mobilization for war? (5.1.B) A. Increased factory production of tanks and planes B. Increased farm production of wheat C. Rationing of products, like copper and rubber D. Increased production of automobiles​

Answers

Answer:

A

Step-by-step explanation:

Tanks are the Backbone of the Military, they are needed to destroy the Axis Powers during WW2, they also used Captured Enemy Tanks for studying and Produce New Tanks to Counter them.

What percent of 56 is 42?
I need an answer ASAP
a
23%
b
42%
c
75%
d
90%

Answers

Answer:

nicki monaj is the queen of rap

Step-by-step explanation:

periodt purr

The answer is C. 75%!

What Does 6 More Than X Mean

Answers

Answer:

if x is an unknown number you know that it is 6 more than the unknown number

Step-by-step explanation:

What’s 12 times 12divided by 58 ?

Answers

12 x 12 = 144
144 / 58 = 2.66

Answer:

2.48........is your answer

Step-by-step explanation:

12×12 =144

144÷58

Help please........... ​

Answers

Answer:

18

Step-by-step explanation:

3 x 6=18

Pls help middle school math!!

Answers

Answer:

r = √A/π      (radius = square root of a over pi)

Explanation:

There is a radius and a diameter. Diameter is the length of the whole circle across. The radius is half of the circle's length across, so half of the diameter.

hope this answers your question!

Investiga y escribe el nombre de los siguientes patrimonios culturales de la humanidad
porfa ayudaaaaaaaaaa
doy corona​

Answers

Answer:

monumentos arquitectónicos, sitios arqueológicos, tradiciones, expresiones artísticas

En la primera imagen es e templo de india o mejor conocido como “ Taj Mahal” fue construido por un emperador después de la muerte de su esposa y la segunda imagen es la estatua de la libertad está simbolizada como e símbolo de la libertad,

the difference of 10 and a number is -2 what is the answer ​

Answers

Answer:

The answer is 8.

Step-by-step explanation:

This question can be written as the equation x-10=-2. With this equation in mind we can get straight ahead to solving. This is just a one-step equation and all we need to do to get our answer from this point is just add 10 to both sides using the addition property of equality and once we do that we have X=8.

A cement truck pours cement into a container in the shape of a cylinder with a radius of 4 feet. The height, h, of the cement in the container increases at a rate of approximately 10 inches per minute. Write an equation that models the volume, V, of the cement in the container in terms of h, then use the equation to determine the time at which the volume is 80π cubic feet. Note that the volume of a cylinder is V=πr2h, where r and h are the radius and height of the cylinder.

Answers

Answer:

2009.6  and 13824 minutes and 230.4 hours

Step-by-step explanation:

v=3.14 x 4 x 2 x 80= 2009.6

find the distance of each the following lines from the origin.
(a),4x_3y=10
b,x_5y+2=0
c,3x+y_7=0​

Answers

Answer:

Step-by-step explanation:

3x+y−7=0 and x+2y+9=0

write in the form y=mx+c

i.e.y=−3x+7,y=  

2

−x

​  

−  

2

9

​  

 

∴m  

1

​  

=−3 and m  

2

​  

∓−  

2

1

​  

 

tan(A−B)=  

​  

 

1+tanAtanB

tanA−tanB

​  

 

​  

 

​  

 

1+(−3)(−y  

2

​  

)

−3−(−y  

2

​  

)

​  

 

​  

 

=  

​  

 

5/2

−5/2

​  

 

​  

=1

∴ Angle b/w then is tan  

−1

(1)=45  

 

=  

4

π

Someone please help me I’ll give out brainliest please don’t answer if you don’t know

Answers

Answer:

$14.77

Step-by-step explanation:

The segment AB has the endpoints A(1,5) and B(3,2). The segment is translated 2 units down and 2 units right. What are the endpoints of the translated segment A'B'?

Answers

The endpoints of the translated segment A'B' after undergoing the given translation is; A'(3, 3) and B'(5, 0)

How to carry out translation transformation?

In transformation in mathematics, there are different types such as dilation, reflection, rotation, translation e.t.c

Now, in this case what we are dealing with is translation which simply means moving an object or figure from one point to the other without changing the shape or dimensions.

To translate the point AB(x, y) , 2 units down and 2 units right, we will use the translation rule;

A'B'(x + 2, y − 2) .

We are given the coordinates of AB as A(1,5) and B(3,2)

Thus;

A'(1 + 2, 5 - 2) = A'(3, 3)

B'(3 + 2, 2 - 2) = B'(5, 0)

Read more about Translation at; https://brainly.com/question/4289712

#SPJ1

Suppose $ 1,250 is placed in a savings account over 2 years. Find the interest earned if the rate is 4.5%

Answers

Answer: $112.50

Step-by-step explanation:

The Simple interest will be calculated using:

= Principal × Rate × Time

= 1250 × 4.5% × 2

= 1250 × 0.045 × 2

= $112.50

Therefore, the interest earned will be $112.50

Answer:$112.50

Step-by-step explanation:

can some one help me please....

step by step explanation........ ​

Answers

Answer:

There are 77 members in the group.

Step-by-step explanation:

1Rs = 100 paise ( Indian Currency Conversion )

Given,

Total amount collected is = Rs 59.29

Now convert Rs 59.29 to paise that is 59.29 × 100 = 5929 paise

Condition :- Paise collection = Total number of members

Consider any of the above condition as X

So, X² = 5929

X = √5929 = 77

Thus, Total number of members in the group is 77 [ Option C ]

Hope this helps you.

divide 450 in the ratio 2 is to 3 is to 5​

Answers

Answer:

90 : 135 : 225

Step-by-step explanation:

sum the parts of the ratio, 2 + 3 + 5 = 10 parts

Divide the number by 10 to find the value of one part of the ratio

450 ÷ 10 = 45 ← value of 1 part of the ratio, then

2 parts = 2 × 45 = 90

3 parts = 3 × 45 = 135

5 parts = 5 × 45 = 225

Then

450 in the ratio 2 : 3 : 5 is 90 : 135 : 225

Suppose that a desk and a chair together weigh at most 55 pounds. The weight of the chair is 17 pounds. Which inequality correctly describes these conditions for the weigh of the desk, d?

Answers

Answer:

The answer will be C

Step-by-step explanation:

Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him. Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below. Let A AA be the event that Mark's little brother selects an outfit with black slacks and B BB be the event that he selects an outfit with a blue shirt. What is P ( A or B ) P(A or B)P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with black slacks or an outfit with a blue shirt? Shirt Slacks Tie Outfit 1 11 Blue Black Red Outfit 2 22 Blue Grey Red Outfit 3 33 White Black Red Outfit 4 44 White Grey Red Outfit 5 55 Black Black Red Outfit 6 66 Black Grey Red

Answers

Answer:

The answer is "[tex]\bold{\frac{2}{3}}[/tex]".

Step-by-step explanation:

Pick a shirt first: 3 choices

Pick slacks next: 2 choices

Then choose a tie: 1 choice

Total: [tex]3 \times 2 \times 1 = 6[/tex] outfits.

These will be similarly divided between the two slacks, so 3 black slack outfits of [tex]6 = \frac{1}{2}[/tex].  Similarly, the 6 styles are also divided between the option of 3 shirts. 2 blue shirt outfits [tex]6 = \frac{1}{3}[/tex]

To recognize that over outfits are a mix of a blue shirt and black slack, it would be twice many more to add [tex]\frac{1}{2} \ and \ \frac{1}{3}[/tex]. Add [tex]\frac{1}{2} \ and \ \frac{1}{3}[/tex], and remove the chance for both the black slack shirt and outfit and are one of the six outfits:

[tex]\to \frac{1}{2} + \frac{1}{3} -\frac{1}{6} =\frac{3+2-1}{6} =\frac{4}{6} = \frac{2}{3}[/tex]

Find the area. Simplify your answer.

Answers

Answer:

x = 26

Step-by-step explanation:

it is a right angle so

(x+4)3=90

3x+12=90

-12         -12

3x = 90-12

3x = 78

/3       /3

x = 26

Solve for all values of x by factoring.
x2+ 13x + 43 = 1

Answers

Answer:

Move 1 to the left side of the equation by subtracting it from both sides. Subtract 1 from 43.

Determine if the two triangles are congruent.

Answers

Answer:

sas

Step-by-step explanation:

vertical angle stuffs

I believe the answer is Side angle side ;)
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