# Solve in Terms of the Arbitrary Variable a y=4x-5 and y=ax+2

Solve in Terms of the Arbitrary Variable a y=4x-5 and y=ax+2
and
Solve the equation for .
Subtract from both sides of the equation.
Move all terms not containing to the right side of the equation.
Add to both sides of the equation.
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Multiply by .
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Simplify .
Multiply .
Combine and .
Multiply by .
To write as a fraction with a common denominator, multiply by .
Simplify terms.
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Apply the distributive property.
Multiply by .
Multiply by .
Subtract from .
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