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Popular >

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

Solution

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

Solution

x = 3, y = 2

Solution steps

[2 x + y = 8 3 x - 2 y = 5]

Isolate

x

for

2 x + y = 8 : x = \frac{8 - y}{2}

Substitute

x = \frac{8 - y}{2}

[3 \cdot \frac{8 - y}{2} - 2 y = 5]

Simplify

[\frac{24 - 7 y}{2} = 5]

Isolate

y

for

\frac{24 - 7 y}{2} = 5 : y = 2

For

x = \frac{8 - y}{2}

Substitute

y = 2

x = \frac{8 - 2}{2}

\frac{8 - 2}{2} = 3

x = 3

The solutions to the system of equations are:

x = 3, y = 2

Popular Examples

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

2x+y=10,6x-3y=6

2 x + y = 10, 6 x - 3 y = 6

(1)x+y=5,x-y=-3

(1) x + y = 5, x - y = - 3

7 x - 3 y = 6, 2 x = y + 3

x+y+z=6,2x-y+z=3,x-2v+3z=6

x + y + z = 6, 2 x - y + z = 3, x - 2 v + 3 z = 6

Frequently Asked Questions (FAQ)

What is 2x+y=8,3x-2y=5 ?
The solution to 2x+y=8,3x-2y=5 is x=3,y=2