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29 May, 02:26

Solve the linear equation using substitution.

2x+9y=-4

X-2y=11

+1
Answers (2)
  1. 29 May, 02:48
    0
    X=7

    y=-2

    ...
  2. 29 May, 02:55
    0
    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
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