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Lunna [17]
3 years ago
8

Solve the system of equations using the substitution method.

Mathematics
2 answers:
wolverine [178]3 years ago
6 0

ANSWER

x = 6

y =  - 11

EXPLANATION

The given system of equations is

y =  - 3x + 7...(1)

and

x =  - 2y  - 16...(2)

We substitute equation (1) into equation (2) to get;

x =  - 2( - 3x + 7) - 16

x = 6x  - 14- 16

We group similar terms

x - 6x =  - 14 - 16

- 5x =  - 30

Divide both sides by -5.

x =6

Put x=6 into equation (1).

y =  - 3(6) + 7

y =  - 18 + 7

y =  - 11

dalvyx [7]3 years ago
5 0

Answer:

x = 6 and y = -11  

Step-by-step explanation:

Given : System of linear equation

y=−3x+7

x=−2y−16

We have to solve the system of equations using the substitution method.

In substitution method, we substitute the value of one variable in term of other and solve for it.

Consider the given system of linear equation

y = −3x + 7  ...(1)

x = −2y − 16 .....(2)

Substitute, (2) in (1), we get,

y = -3(-2y - 16) + 7

Simplify , we get,

y = 6y + 48 + 7

6y - y = - 55

5y = -55

y = -11

Substitute y = -11 in (2), we get,

x = −2(-11) − 16 = 22 - 16 =  6

thus, x = 6

Thus , x = 6 and y = -11  

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Alenkinab [10]

Answer:

17/5

Step-by-step explanation:

23=5x+6

23-6=5x

17=5x

X=17/5

6 0
2 years ago
1.) -9x+8 ≤ 80 *<br><br> A. x ≥ -8<br> B. x ≤ -8<br> C. x ≥ 8<br> D. x ≤ 8
Firlakuza [10]

Answer:

x\geq -8

Step-by-step explanation:

-9x+8\leq 80

       -8      -8

₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋₋

\frac{-9x}{-9} \leq \frac{72}{-9}

     ⇵  

x\geq -8

7 0
2 years ago
Read 2 more answers
Please help. I’ll mark you as brainliest if correct!
11111nata11111 [884]

Answer:

50 miles

Step-by-step explanation:

See the step-by-step solution in the picture attached below.

I hope this answer will help you. Have a nice day !

4 0
3 years ago
Help on $3.70÷2=no clue
Daniel [21]
3.7/2 = 1.85
2 goes into 3 1 time.
you have a remainder of 1
That one gets a 7 after it
now you have 17
2 goes into 17 8 times
remainder of 1
bring down the 0 that's there, but is not shown because it's not important in standard form or decimals.
You get 10 and that's 5
so you have 1.85
1.85$
3 0
3 years ago
Read 2 more answers
HELP!!<br> Full Question in picture
drek231 [11]

a. The value of x is 7

b. The measure of ∠1 is 99°

<h3>Calculating angles </h3>

From the question, we are to solve for x

From the given diagram, we can write that

m∠NMQ + m∠MQN + m∠QNM = 180° (<em>Sum of angles in a triangle</em>)

From the given information,

m∠NMQ = 5x +19

m∠MQN = 8x -11

m∠QNM = 11x + 4

Then,

5x + 19 + 8x -11 + 11x + 4 = 180

Collect like terms

5x + 8x + 11x = 180 - 19 + 11 - 4

24x = 168

∴ x = 168/24

x = 7

Hence, the value of x is 7

b.
Measure of ∠1 + m∠QNM = 180° (<em>Sum of angles on a straight line</em>)

∴ Measure of ∠1 = 180° - m∠QNM

But m∠QNM = 11x + 4

∴ m∠QNM = 11(7) + 4

m∠QNM = 77 + 4

m∠QNM = 81°

Then,

Measure of ∠1 = 180° - 81°

Measure of ∠1 = 99°

Hence, the measure of ∠1 is 99°

Learn more on Calculating angles here: brainly.com/question/25716982

#SPJ1

5 0
2 years ago
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