What is y=mx+b,2y-3x=6 ?

The solution to y=mx+b,2y-3x=6 is

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Write in y=mx+b Form 2y-3x=6

y = m x + b, 2 y - 3 x = 6

(x = \frac{6 - 2 b}{2 m - 3}, y = \frac{m ( 6 - 2 b )}{2 m - 3} + b)

Solution steps

[y = m x + b 2 y - 3 x = 6]

Isolate

y

for

y = m x + b : y = m x + b

Plug the solutions

y = m x + b

into

2 y - 3 x = 6

For

2 y - 3 x = 6

, subsitute

y

with

m x + b : x = \frac{6 - 2 b}{2 m - 3}; m \neq = \frac{3}{2}

Plug the solutions

x = \frac{6 - 2 b}{2 m - 3}

into

y = m x + b

For

y = m x + b

, subsitute

x

with

\frac{6 - 2 b}{2 m - 3} : y = \frac{m ( 6 - 2 b )}{2 m - 3} + b

Verify solutions by plugging them into the original equations

Therefore, the final solution for

y = m x + b, 2 y - 3 x = 6

(x = \frac{6 - 2 b}{2 m - 3}, y = \frac{m ( 6 - 2 b )}{2 m - 3} + b)

x, - 9 x = 36

x^{2} - 5 x = 6

r, 167 < 6 + 7 (2 - 7 r)

\frac{128}{180}

x, x^{2} = - 4