What is 4x-y=12,2x+3y=-5 ?

The solution to 4x-y=12,2x+3y=-5 is x= 31/14 ,y=-22/7

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4x-y=12,2x+3y=-5

4 x - y = 12, 2 x + 3 y = - 5

x = \frac{31}{14}, y = - \frac{22}{7}

Solution steps

[4 x - y = 12 2 x + 3 y = - 5]

Isolate

x

for

4 x - y = 12 : x = \frac{12 + y}{4}

Substitute

x = \frac{12 + y}{4}

[2 \cdot \frac{12 + y}{4} + 3 y = - 5]

Simplify

[\frac{12 + 7 y}{2} = - 5]

Isolate

y

for

\frac{12 + 7 y}{2} = - 5 : y = - \frac{22}{7}

For

x = \frac{12 + y}{4}

Substitute

y = - \frac{22}{7}

x = \frac{12 - \frac{22}{7}}{4}

\frac{12 - \frac{22}{7}}{4} = \frac{31}{14}

x = \frac{31}{14}

The solutions to the system of equations are:

x = \frac{31}{14}, y = - \frac{22}{7}

3 x - 4 y = 10, 4 x + 3 y = 5

- 9 x - \frac{( 9 y )}{7} = 15, - 3 x + \frac{2}{9} \cdot y = 7

3 (x + y) = 2, x - 1 x + y = - 5

y - 4 x = 1, 6 x - 5 y = 9

6 x + 2 y = 10, 10 x - 3 y = 12

What is 4x-y=12,2x+3y=-5 ?
The solution to 4x-y=12,2x+3y=-5 is x= 31/14 ,y=-22/7