Question

ERROR ANALYSIS Describe and correct the error in solving for one of the variables in the linear system
8x + 2y = -12 and 5x - y = 4.

Answer 1

Answer:

{x,y} = {-2/9,-46/9}

Hope it's right ;)

Step-by-step explanation:

Answer 2

Answer:

x = $\frac{2}{9}$ and y = $-2\frac{8}{9}$

Step-by-step explanation:

Given:

8x + 2y = -12

5x - y = 4

make y the subject in equation 2:

5x - y = 4

-y = 4 - 5x

y = 5x - 4

insert [ 5x - 4 ] as y in equation 2:

8x + 2y = -12

8x + 2(5x - 4) = -12

8x + 10x - 8 = -12

18x - 8 = -12

18x = -4

x = $\frac{2}{9}$

solve for y:

y = 5x - 4

y = 5( $\frac{2}{9}$ ) - 4

y = $\frac{-26}{9}$ ____in improper fraction or $-2\frac{8}{9}$ ____in mixed fraction