Question

Solve systems of equations for y and x: −9x + 4y = 6 9x + 5y = −33 ​

Answer 1

Answer:

$y = -3$

$x = -2$

Step-by-step explanation:

Given

$-9x + 4y = 6$

$9x + 5y = -33$

Required

Find x and y

To eliminate x, we simply add both equations

$-9x = 9x + 4y + 5y= 6 - 33$

$9y= -27$

Divide by 9

$y = -27/9$

$y = -3$

Substitute -3 for y in $9x + 5y = -33$

$9x + 5 * -3 =-33$

$9x - 15 =-33$

Add 15 to both sides

$9x =-15 -33$

$9x =-18$

Divide by 9

$x = -18/9$

$x = -2$