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Popular >

4x+y=7,2y+4x=12

Solution

4 x + y = 7, 2 y + 4 x = 12

Solution

x = \frac{1}{2}, y = 5

Solution steps

[4 x + y = 7 2 y + 4 x = 12]

Isolate

x

for

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

Substitute

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

[2 y + 4 \cdot \frac{7 - y}{4} = 12]

Simplify

[y + 7 = 12]

Isolate

y

for

y + 7 = 12 : y = 5

For

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

Substitute

y = 5

x = \frac{7 - 5}{4}

\frac{7 - 5}{4} = \frac{1}{2}

x = \frac{1}{2}

The solutions to the system of equations are:

x = \frac{1}{2}, y = 5

Popular Examples

0.1x-0.2y=2,x+y=17

0.1 x - 0.2 y = 2, x + y = 17

5 x = 4, + 2 y x + y = 12

15x+3y=0,-2x+3y=2

15 x + 3 y = 0, - 2 x + 3 y = 2

3x+2y=-11,7x-4y=9

3 x + 2 y = - 11, 7 x - 4 y = 9

3a+b=13,-4a+b=-36

3 a + b = 13, - 4 a + b = - 36

Frequently Asked Questions (FAQ)

What is 4x+y=7,2y+4x=12 ?
The solution to 4x+y=7,2y+4x=12 is x= 1/2 ,y=5