What is 2x-y=4,4x+7y=38 ?

The solution to 2x-y=4,4x+7y=38 is x= 11/3 ,y= 10/3

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2x-y=4,4x+7y=38

2 x - y = 4, 4 x + 7 y = 38

x = \frac{11}{3}, y = \frac{10}{3}

Solution steps

[2 x - y = 4 4 x + 7 y = 38]

Isolate

x

for

2 x - y = 4 : x = \frac{4 + y}{2}

Substitute

x = \frac{4 + y}{2}

[4 \cdot \frac{4 + y}{2} + 7 y = 38]

Simplify

[9 y + 8 = 38]

Isolate

y

for

9 y + 8 = 38 : y = \frac{10}{3}

For

x = \frac{4 + y}{2}

Substitute

y = \frac{10}{3}

x = \frac{4 + \frac{10}{3}}{2}

\frac{4 + \frac{10}{3}}{2} = \frac{11}{3}

x = \frac{11}{3}

The solutions to the system of equations are:

x = \frac{11}{3}, y = \frac{10}{3}

a = 14, b = 20

- 7 x - 6 y = 4, x = - 3 y + 8

15 x + 20 y = 220, 8 x + 20 y = 192

3 x - y = 1, 4 - 2 x + 3 y = 14

3 \cdot (- y) = 1, 2 \cdot + y = 9