Hello from MrBillDoesMath!
Answer:
x = -25/6
y = -7/3
Discussion:
2x - 8 = 7y => multiply both sides by 3
6x - 24 = 21y
Subtract this from the second equation:
6x -9y= -4
6x -24 = 21y
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0x -9y + 24 = -4 - 21y => add 21y to both sides
-9y + 21y + 24 = -4 => add -24 to both sides
-9y +21y + (24 - 24) = -4 -24 =>
12y = - 28 =>
y = -28/12
y = -7/3
Solving for x,
2x - 8 = 7(-7/3) =>
2x - 8 = -49/3 => add 8 = 24/3 to both sides
2x = -49/3 + 24/3 =>
2x = -25/3 => divide both sides by 2
x = -25/6
Thank you,
MrB
