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Popular >

4x+y=7,2x-y=5

Solution

4 x + y = 7, 2 x - y = 5

Solution

x = 2, y = - 1

Solution steps

[4 x + y = 7 2 x - y = 5]

Isolate

x

for

4 x + y = 7 : x = \frac{7 - y}{4}

Substitute

x = \frac{7 - y}{4}

[2 \cdot \frac{7 - y}{4} - y = 5]

Simplify

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

Isolate

y

for

\frac{7 - 3 y}{2} = 5 : y = - 1

For

x = \frac{7 - y}{4}

Substitute

y = - 1

x = \frac{7 - ( - 1 )}{4}

\frac{7 - ( - 1 )}{4} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = - 1

Popular Examples

5x-2y=4,3x+4y=18

5 x - 2 y = 4, 3 x + 4 y = 18

7x-2y=9,4x+6y=15

7 x - 2 y = 9, 4 x + 6 y = 15

6x-5y=-9,4x+3y=13

6 x - 5 y = - 9, 4 x + 3 y = 13

x + y = 5, x - y = 7

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

Frequently Asked Questions (FAQ)

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