What is 4x-y=20,7x+2y=18 ?

The solution to 4x-y=20,7x+2y=18 is x= 58/15 ,y=-68/15

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4x-y=20,7x+2y=18

4 x - y = 20, 7 x + 2 y = 18

x = \frac{58}{15}, y = - \frac{68}{15}

Solution steps

[4 x - y = 20 7 x + 2 y = 18]

Isolate

x

for

4 x - y = 20 : x = \frac{20 + y}{4}

Substitute

x = \frac{20 + y}{4}

[7 \cdot \frac{20 + y}{4} + 2 y = 18]

Simplify

[\frac{140 + 15 y}{4} = 18]

Isolate

y

for

\frac{140 + 15 y}{4} = 18 : y = - \frac{68}{15}

For

x = \frac{20 + y}{4}

Substitute

y = - \frac{68}{15}

x = \frac{20 - \frac{68}{15}}{4}

\frac{20 - \frac{68}{15}}{4} = \frac{58}{15}

x = \frac{58}{15}

The solutions to the system of equations are:

x = \frac{58}{15}, y = - \frac{68}{15}

x - 2 y = 3, x + 4 y - 20 = 0

\frac{1}{7} x + \frac{1}{6} y = 3, \frac{1}{2} x + \frac{1}{3} y = 2

x + y = - 4, - x + 2 y = 13

x - y = 28, x - 3 y = 10

2 x - y = 4, - 10 x + 5 y = 0

What is 4x-y=20,7x+2y=18 ?
The solution to 4x-y=20,7x+2y=18 is x= 58/15 ,y=-68/15