What is y=mx+b,x-y=-15 ?

The solution to y=mx+b,x-y=-15 is

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Write in y=mx+b Form x-y=-15

y = m x + b, x - y = - 15

(x = \frac{b - 15}{1 - m}, y = \frac{m ( b - 15 )}{1 - m} + b)

Solution steps

[y = m x + b x - y = - 15]

Add the equations

y = m x + b

y + (x - y) = m x + b + (- 15)

Simplify

x = m x + b - 15

Solve

x = m x + b - 15 : x = \frac{b - 15}{1 - m}; m \neq = 1

Plug the solutions

x = \frac{b - 15}{1 - m}

into

y = m x + b

For

y = m x + b

, subsitute

x

with

\frac{b - 15}{1 - m} : y = \frac{m ( b - 15 )}{1 - m} + b

Verify solutions by plugging them into the original equations

Therefore, the final solution for

y = m x + b, x - y = - 15

(x = \frac{b - 15}{1 - m}, y = \frac{m ( b - 15 )}{1 - m} + b)

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