What is 8x-2y=7,2x+3y=5 ?

The solution to 8x-2y=7,2x+3y=5 is x= 31/28 ,y= 13/14

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8x-2y=7,2x+3y=5

8 x - 2 y = 7, 2 x + 3 y = 5

x = \frac{31}{28}, y = \frac{13}{14}

Solution steps

[8 x - 2 y = 7 2 x + 3 y = 5]

Isolate

x

for

8 x - 2 y = 7 : x = \frac{7 + 2 y}{8}

Substitute

x = \frac{7 + 2 y}{8}

[2 \cdot \frac{7 + 2 y}{8} + 3 y = 5]

Simplify

[\frac{7 + 14 y}{4} = 5]

Isolate

y

for

\frac{7 + 14 y}{4} = 5 : y = \frac{13}{14}

For

x = \frac{7 + 2 y}{8}

Substitute

y = \frac{13}{14}

x = \frac{7 + 2 \cdot \frac{13}{14}}{8}

\frac{7 + 2 \cdot \frac{13}{14}}{8} = \frac{31}{28}

x = \frac{31}{28}

The solutions to the system of equations are:

x = \frac{31}{28}, y = \frac{13}{14}

x + y = 16, 2 x - y = 23

(4) 3 x - y - 2 = 0, 2 x + y = 8

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

2 x + 7 y - 3 = 5, x + 4 y + 6 = 0

7 x - 4 y = 5, 3 x - 2 y = 1