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Popular >

5x+2y=7,2x-3y=18

Solution

5 x + 2 y = 7, 2 x - 3 y = 18

Solution

x = 3, y = - 4

Solution steps

[5 x + 2 y = 7 2 x - 3 y = 18]

Isolate

x

for

5 x + 2 y = 7 : x = \frac{7 - 2 y}{5}

Substitute

x = \frac{7 - 2 y}{5}

[2 \cdot \frac{7 - 2 y}{5} - 3 y = 18]

Simplify

[\frac{14 - 19 y}{5} = 18]

Isolate

y

for

\frac{14 - 19 y}{5} = 18 : y = - 4

For

x = \frac{7 - 2 y}{5}

Substitute

y = - 4

x = \frac{7 - 2 ( - 4 )}{5}

\frac{7 - 2 ( - 4 )}{5} = 3

x = 3

The solutions to the system of equations are:

x = 3, y = - 4

Popular Examples

2 b = 2, a = 1

x + 2 y = 6, x - y = 1

2x+3y=7,4x+2x=10

2 x + 3 y = 7, 4 x + 2 x = 10

3x-5y=9,24x-12=42y

3 x - 5 y = 9, 24 x - 12 = 42 y

4x+10y=3,2x+5y=2

4 x + 10 y = 3, 2 x + 5 y = 2

Frequently Asked Questions (FAQ)

What is 5x+2y=7,2x-3y=18 ?
The solution to 5x+2y=7,2x-3y=18 is x=3,y=-4