What is x+2y=5,2x-3y=4 ?

The solution to x+2y=5,2x-3y=4 is x= 23/7 ,y= 6/7

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

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

x = \frac{23}{7}, y = \frac{6}{7}

Solution steps

[x + 2 y = 5 2 x - 3 y = 4]

Isolate

x

for

x + 2 y = 5 : x = 5 - 2 y

Substitute

x = 5 - 2 y

[2 (5 - 2 y) - 3 y = 4]

Simplify

[10 - 7 y = 4]

Isolate

y

for

10 - 7 y = 4 : y = \frac{6}{7}

For

x = 5 - 2 y

Substitute

y = \frac{6}{7}

x = 5 - 2 \cdot \frac{6}{7}

5 - 2 \cdot \frac{6}{7} = \frac{23}{7}

x = \frac{23}{7}

The solutions to the system of equations are:

x = \frac{23}{7}, y = \frac{6}{7}

(2 a - 1) x + 3 y - 5 = 3, x + (b - 1) y - 2 = 0

3 x - y = 64, 5 x - 4 y = 14

2 x + y + z = 4, x + y + 2 z = 4, x - y - z = - 1

\frac{4}{3} x - y = 2, 2 x - y = 3

5 x + 2 y = 13, 2 x + 6 y = 26