Solve the linear equation using substitution.

2x+9y=-4

X-2y=11

X=7

y=-2

...

X=15 y=-2

Step By Step:

Step 1: solve for x in the second equation (x-2y=11) x=11+2y

Step 2: Substitute this value of x into the first equation (2x+9y=-4) giving you 2 (11+2y) + 9y=-4

Step 3: distribute the 2 throughout the parentheses giving you 22+4y+9y=-4

Step 4: simplify each side giving you 22+13y=-4

Step 5: solve for y (subtract 22 from both sides then divide by 13) giving you y=-2

Step 6: substitute this value of y into either equation (I used x-2y=11) giving you x-2 (-2) = 11

Step 7: solve for x (multiply - 2 by 2 and add this value to both sides) giving you x=15