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

The solution to 3(x-2y)+4y=5,2x-y=3 is x=1,y=-1

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

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

x = 1, y = - 1

Solution steps

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

Isolate

x

for

2 x - y = 3 : x = \frac{3 + y}{2}

Substitute

x = \frac{3 + y}{2}

[3 (\frac{3 + y}{2} - 2 y) + 4 y = 5]

Simplify

[\frac{9 - y}{2} = 5]

Isolate

y

for

\frac{9 - y}{2} = 5 : y = - 1

For

x = \frac{3 + y}{2}

Substitute

y = - 1

x = \frac{3 - 1}{2}

Simplify

x = 1

The solutions to the system of equations are:

x = 1, y = - 1

7 x + 2 y = 3, 3 x + 5 y = 22

5 a - 5 b = 1, \frac{4}{5} a + 2 b = - 23

13 x + 12 y = 38, 12 x - 13 y = 38

6 \cdot \frac{7}{( 2 x + 2 y )} = 3, x = 2

(11) 2 x + y = 8, x - 2 y = - 1