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Popular >

2x+3y=9,-x+y=-2

Solution

2 x + 3 y = 9, - x + y = - 2

Solution

x = 3, y = 1

Solution steps

[2 x + 3 y = 9 - x + y = - 2]

Isolate

x

for

2 x + 3 y = 9 : x = \frac{9 - 3 y}{2}

Substitute

x = \frac{9 - 3 y}{2}

[- \frac{9 - 3 y}{2} + y = - 2]

Simplify

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

Isolate

y

for

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

For

x = \frac{9 - 3 y}{2}

Substitute

y = 1

x = \frac{9 - 3 \cdot 1}{2}

\frac{9 - 3 \cdot 1}{2} = 3

x = 3

The solutions to the system of equations are:

x = 3, y = 1

Popular Examples

2 x - y = 0, x + y = 15

8^x=2^{y+1},5^y=25^{x+1}

8^{x} = 2^{y + 1}, 5^{y} = 2 5^{x + 1}

5x_{1}+7x_{2}=3,2x_{1}+4x_{2}=1

5 x_{1} + 7 x_{2} = 3, 2 x_{1} + 4 x_{2} = 1

2y-x=-9,7y-2x=3

2 y - x = - 9, 7 y - 2 x = 3

2u+3v=13,4u+5v=23

2 u + 3 v = 13, 4 u + 5 v = 23

Frequently Asked Questions (FAQ)

What is 2x+3y=9,-x+y=-2 ?
The solution to 2x+3y=9,-x+y=-2 is x=3,y=1