Solve for n
n=-\frac{10x}{7}+850
Solve for x
x=-\frac{7n}{10}+595
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5x\times 40+7n\times 20=119000
Multiply both sides of the equation by 35, the least common multiple of 7,5.
200x+7n\times 20=119000
Multiply 5 and 40 to get 200.
200x+140n=119000
Multiply 7 and 20 to get 140.
140n=119000-200x
Subtract 200x from both sides.
\frac{140n}{140}=\frac{119000-200x}{140}
Divide both sides by 140.
n=\frac{119000-200x}{140}
Dividing by 140 undoes the multiplication by 140.
n=-\frac{10x}{7}+850
Divide 119000-200x by 140.
5x\times 40+7n\times 20=119000
Multiply both sides of the equation by 35, the least common multiple of 7,5.
200x+7n\times 20=119000
Multiply 5 and 40 to get 200.
200x+140n=119000
Multiply 7 and 20 to get 140.
200x=119000-140n
Subtract 140n from both sides.
\frac{200x}{200}=\frac{119000-140n}{200}
Divide both sides by 200.
x=\frac{119000-140n}{200}
Dividing by 200 undoes the multiplication by 200.
x=-\frac{7n}{10}+595
Divide 119000-140n by 200.
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