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Dvinal [7]
3 years ago
15

41 + 2y = 0 - 4x – 9y= - 28 Solve each system by elimination

Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0

<em><u>Question:</u></em>

4x + 2y = 0

- 4x – 9y= - 28

Solve each system by elimination

<em><u>Answer:</u></em>

The solution is x = -2 and y = 4

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

4x + 2y = 0  ------ eqn 1

-4x – 9y = - 28  ------- eqn 2

We have to solve the system of equations by elimination method

Add eqn 1 and eqn 2

4x + 2y -4x -9y = 0 - 28

0 + 2y - 9y = -28

-7y = -28

Divide both sides by -7

y = 4

<em><u>Substitute y = 4 in eqn 1</u></em>

4x + 2(4) = 0

4x + 8 = 0

4x = -8

Divide both sides by 4

x = -2

Thus the solution is x = -2 and y = 4

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<u>Step-by-step explanation:</u>

  RS = QS                 SIDES are congruent

∠PSR ≡ ∠PSQ         ANGLES are congruent

 PS = PS                  SIDES are congruent

ΔPSR ≡ ΔPSQ by the Side-Angle-Side (SAS) Congruency Theorem

Since we know the triangles are congruent, we can state that their parts are congruent:

Congruent-Parts of-Congruent-Triangles are-Congruent (CPCTC)

8 0
3 years ago
Loretta’s income last year was $81,300. She made $56,800 at her salaried job and had additional passive income. If Loretta earne
adell [148]

Answer:

The answer is $2041.67 approx.

Step-by-step explanation:

Loretta’s income last year was $81,300.

Amount made in salary = $56,800

So, additional passive income is = 81300-56800=24500 dollars

Given that Loretta earned the same amount of passive income each month for the entire year.

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3 0
3 years ago
3(8 - 2x) + 2(7x -19)<br>simplify​
Rina8888 [55]
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4 0
3 years ago
ABCD ~ EFGH
vredina [299]

Answer:

FG = 20 in

Step-by-step explanation:

∵ ABCD ≈ EFGH

∴ AD/EH = BC/FG

∵ AD = 45 in

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4 0
3 years ago
Slope = -2/5 y-intercept= 0
densk [106]

Answer:

y=(-2/5)x

Step-by-step explanation:

Assuming that the goal is to find the linear equation in slope-intercept form, this problem is pretty simple.

Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept. We just have to plug in the information

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3 0
3 years ago
Read 2 more answers
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