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Popular >

5x-3y=23,2x+y=7

Solution

5 x - 3 y = 23, 2 x + y = 7

Solution

x = 4, y = - 1

Solution steps

[5 x - 3 y = 23 2 x + y = 7]

Isolate

x

for

5 x - 3 y = 23 : x = \frac{23 + 3 y}{5}

Substitute

x = \frac{23 + 3 y}{5}

[2 \cdot \frac{23 + 3 y}{5} + y = 7]

Simplify

[\frac{46 + 11 y}{5} = 7]

Isolate

y

for

\frac{46 + 11 y}{5} = 7 : y = - 1

For

x = \frac{23 + 3 y}{5}

Substitute

y = - 1

x = \frac{23 + 3 ( - 1 )}{5}

\frac{23 + 3 ( - 1 )}{5} = 4

x = 4

The solutions to the system of equations are:

x = 4, y = - 1

Popular Examples

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

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

2x+3y=23,5x-20=8y

2 x + 3 y = 23, 5 x - 20 = 8 y

2x-2y=1,3x+5y=11

2 x - 2 y = 1, 3 x + 5 y = 11

2x=3,y-142y=x+8

2 x = 3, y - 142 y = x + 8

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

Frequently Asked Questions (FAQ)

What is 5x-3y=23,2x+y=7 ?
The solution to 5x-3y=23,2x+y=7 is x=4,y=-1