Question

Solve the system of linear equations by multiplying. {−2x + 2y =4 {−4x + 8y =24

Answer 1

Answer:

The solution set is (2,4).

Step-by-step explanation:

Given that:

−2x + 2y =4         Eqn 1

−4x + 8y =24      Eqn 2

Multiplying Eqn 1 by -2

-2(-2x+2y=4)

4x-4y= -8     Eqn 3

Adding Eqn 2 and 3

(-4x+8y)+(4x-4y)=24-8

-4x+8y+4x-4y=16

4y=16

Dividing both sides by 4

$\frac{4y}{4}=\frac{16}{4}\\y=4$

Putting y=4 in Eqn 1

-2x+2(4)=4

-2x+8=4

-2x=4-8

-2x=-4

Dividing both sides by -2

$\frac{-2x}{-2}=\frac{-4}{-2}\\x=2$

Hence,

The solution set is (2,4).