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3 years ago

What is the value of y in the solution to the following system of equations?

Mathematics

1 answer:

lukranit [14]3 years ago

4 0

Answer:

Option D is the correct answer.

Step-by-step explanation:

The equations are:

5x - 3y = -11 Eqn 1

2x - 6y = -14 Eqn 2

We have to find the value of y so we will eliminate x.

Multiplying Eqn 1 by 2

2(5x-3y=-11)

10x-6y=-22 Eqn 3

Multiplying Eqn 2 by 5

5(2x-6y=-14)

10x-30y=-70 Eqn 4

Subtracting Eqn 4 from Eqn 3

(10x-6y)-(10x-30y)= -22-(-70)

10x-6y-10x+30y = -22 + 70

24y = 48

$\frac{24y}{24}=\frac{48}{24}\\y=2$

Therefore,

Option D is the correct answer.

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