Solve for x
x=-y+\frac{2800}{z}
z\neq 0
Solve for y
y=-x+\frac{2800}{z}
z\neq 0
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\left(25+55\right)\times 35=\left(x+y\right)z
Multiply both sides of the equation by 2.
80\times 35=\left(x+y\right)z
Add 25 and 55 to get 80.
2800=\left(x+y\right)z
Multiply 80 and 35 to get 2800.
2800=xz+yz
Use the distributive property to multiply x+y by z.
xz+yz=2800
Swap sides so that all variable terms are on the left hand side.
xz=2800-yz
Subtract yz from both sides.
zx=2800-yz
The equation is in standard form.
\frac{zx}{z}=\frac{2800-yz}{z}
Divide both sides by z.
x=\frac{2800-yz}{z}
Dividing by z undoes the multiplication by z.
x=-y+\frac{2800}{z}
Divide 2800-yz by z.
\left(25+55\right)\times 35=\left(x+y\right)z
Multiply both sides of the equation by 2.
80\times 35=\left(x+y\right)z
Add 25 and 55 to get 80.
2800=\left(x+y\right)z
Multiply 80 and 35 to get 2800.
2800=xz+yz
Use the distributive property to multiply x+y by z.
xz+yz=2800
Swap sides so that all variable terms are on the left hand side.
yz=2800-xz
Subtract xz from both sides.
zy=2800-xz
The equation is in standard form.
\frac{zy}{z}=\frac{2800-xz}{z}
Divide both sides by z.
y=\frac{2800-xz}{z}
Dividing by z undoes the multiplication by z.
y=-x+\frac{2800}{z}
Divide 2800-xz by z.
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