What is 2x-y=6,4x+2y=3 ?

The solution to 2x-y=6,4x+2y=3 is x= 15/8 ,y=-9/4

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2x-y=6,4x+2y=3

2 x - y = 6, 4 x + 2 y = 3

x = \frac{15}{8}, y = - \frac{9}{4}

Solution steps

[2 x - y = 6 4 x + 2 y = 3]

Isolate

x

for

2 x - y = 6 : x = \frac{6 + y}{2}

Substitute

x = \frac{6 + y}{2}

[4 \cdot \frac{6 + y}{2} + 2 y = 3]

Simplify

[4 y + 12 = 3]

Isolate

y

for

4 y + 12 = 3 : y = - \frac{9}{4}

For

x = \frac{6 + y}{2}

Substitute

y = - \frac{9}{4}

x = \frac{6 - \frac{9}{4}}{2}

\frac{6 - \frac{9}{4}}{2} = \frac{15}{8}

x = \frac{15}{8}

The solutions to the system of equations are:

x = \frac{15}{8}, y = - \frac{9}{4}

x + y = 1, 3 x - y = 5

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

x + y = 3, 3 x + 2 y = 19

2 x + 3 y = 12, 4 x + 6 y = 24

x + 7 y = 10, 3 x - 2 y = 7