What is 4x+3y=3,7-4x+2y=-2 ?

The solution to 4x+3y=3,7-4x+2y=-2 is x= 33/20 ,y=-6/5

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4x+3y=3,7-4x+2y=-2

4 x + 3 y = 3, 7 - 4 x + 2 y = - 2

x = \frac{33}{20}, y = - \frac{6}{5}

Solution steps

[4 x + 3 y = 3 7 - 4 x + 2 y = - 2]

Isolate

x

for

4 x + 3 y = 3 : x = \frac{3 - 3 y}{4}

Substitute

x = \frac{3 - 3 y}{4}

[7 - 4 \cdot \frac{3 - 3 y}{4} + 2 y = - 2]

Simplify

[5 y + 4 = - 2]

Isolate

y

for

5 y + 4 = - 2 : y = - \frac{6}{5}

For

x = \frac{3 - 3 y}{4}

Substitute

y = - \frac{6}{5}

x = \frac{3 - 3 ( - \frac{6}{5} )}{4}

\frac{3 - 3 ( - \frac{6}{5} )}{4} = \frac{33}{20}

x = \frac{33}{20}

The solutions to the system of equations are:

x = \frac{33}{20}, y = - \frac{6}{5}

x + 2 y = 7, 5 x + y = 8

6 x + 12 y - 18 z = 12, 64 + 6 y + 127 = 12, 11 x - 3 y - 2 = 7

x + y = 1, 1 x - y = - 7

4 x + 2 y = 2, 2 x - 3 y = - 11

4 x + 5 y = 5, - 10 y - 4 x = - 7

What is 4x+3y=3,7-4x+2y=-2 ?
The solution to 4x+3y=3,7-4x+2y=-2 is x= 33/20 ,y=-6/5