Solve 3x-8y=-26 for x
Add 8y to both sides
3x-8y+8y=-26+8y
3x = 8y-26
Divide both sides by
3x/3 = 8y-26/3
x = 8/3 y + -26/3
Substitute 8/3 y + -26/3 for x in -5x+6y = 14
-5x+6y = 14
-5(8/3 y + -26/3 ) +6y = 14
Simplify both sides of the equation
-22/3 y + 130/3 = 14
Add -130/3 to both sides
-22/3 y + 130/3 + -130/3 = 14 + -130/3
-22/3 y = -88/3
Divide both sides by -22/3
-22/3 y / -22/3 = -88/3 / -22/3
Substitute 4 for y in x= 8/3 y + -26/3
x= 8/3 y + -26/3
x = 8/3 (4) + - 26/3
Simplify both sides of the equation
x = 2
Answer : x = 2 and y = 4
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