Solve for x
x=\frac{9y}{8}-\frac{19}{4}
Solve for y
y=\frac{8x+38}{9}
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8x-16=9\left(y-6\right)
Use the distributive property to multiply 8 by x-2.
8x-16=9y-54
Use the distributive property to multiply 9 by y-6.
8x=9y-54+16
Add 16 to both sides.
8x=9y-38
Add -54 and 16 to get -38.
\frac{8x}{8}=\frac{9y-38}{8}
Divide both sides by 8.
x=\frac{9y-38}{8}
Dividing by 8 undoes the multiplication by 8.
x=\frac{9y}{8}-\frac{19}{4}
Divide 9y-38 by 8.
8x-16=9\left(y-6\right)
Use the distributive property to multiply 8 by x-2.
8x-16=9y-54
Use the distributive property to multiply 9 by y-6.
9y-54=8x-16
Swap sides so that all variable terms are on the left hand side.
9y=8x-16+54
Add 54 to both sides.
9y=8x+38
Add -16 and 54 to get 38.
\frac{9y}{9}=\frac{8x+38}{9}
Divide both sides by 9.
y=\frac{8x+38}{9}
Dividing by 9 undoes the multiplication by 9.
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Simultaneous equation
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Integration
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Limits
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