Solve for x
x=-\frac{14y}{17}
Solve for y
y=-\frac{17x}{14}
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20x+30y=3x+2y\times 8
Use the distributive property to multiply 2x+3y by 10.
20x+30y=3x+16y
Multiply 2 and 8 to get 16.
20x+30y-3x=16y
Subtract 3x from both sides.
17x+30y=16y
Combine 20x and -3x to get 17x.
17x=16y-30y
Subtract 30y from both sides.
17x=-14y
Combine 16y and -30y to get -14y.
\frac{17x}{17}=-\frac{14y}{17}
Divide both sides by 17.
x=-\frac{14y}{17}
Dividing by 17 undoes the multiplication by 17.
20x+30y=3x+2y\times 8
Use the distributive property to multiply 2x+3y by 10.
20x+30y=3x+16y
Multiply 2 and 8 to get 16.
20x+30y-16y=3x
Subtract 16y from both sides.
20x+14y=3x
Combine 30y and -16y to get 14y.
14y=3x-20x
Subtract 20x from both sides.
14y=-17x
Combine 3x and -20x to get -17x.
\frac{14y}{14}=-\frac{17x}{14}
Divide both sides by 14.
y=-\frac{17x}{14}
Dividing by 14 undoes the multiplication by 14.
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Limits
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