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Popular >

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

Solution

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

Solution

x = 3, y = - 1

Solution steps

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

Isolate

x

for

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

Substitute

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

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

Simplify

[\frac{15 + y}{2} = 7]

Isolate

y

for

\frac{15 + y}{2} = 7 : y = - 1

For

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

Substitute

y = - 1

x = \frac{5 - ( - 1 )}{2}

\frac{5 - ( - 1 )}{2} = 3

x = 3

The solutions to the system of equations are:

x = 3, y = - 1

Popular Examples

2 y - x^{2} = 3, y - x = 1

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

-3x+2y=-1,4x-y=-1/2

- 3 x + 2 y = - 1, 4 x - y = - \frac{1}{2}

12x+8y=-92,-2.5y+x=-33

12 x + 8 y = - 92, - 2.5 y + x = - 33

83x+71y=35,71x+83y=472

83 x + 71 y = 35, 71 x + 83 y = 472

Frequently Asked Questions (FAQ)

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