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Popular >

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

Solution

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

Solution

x = \frac{6}{7}, y = - \frac{4}{7}

Solution steps

[3 x + y = 2 4 x - y = 4]

Isolate

x

for

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

Substitute

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

[4 \cdot \frac{2 - y}{3} - y = 4]

Simplify

[\frac{8 - 7 y}{3} = 4]

Isolate

y

for

\frac{8 - 7 y}{3} = 4 : y = - \frac{4}{7}

For

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

Substitute

y = - \frac{4}{7}

x = \frac{2 - ( - \frac{4}{7} )}{3}

\frac{2 - ( - \frac{4}{7} )}{3} = \frac{6}{7}

x = \frac{6}{7}

The solutions to the system of equations are:

x = \frac{6}{7}, y = - \frac{4}{7}

Popular Examples

a + b = 1, 4 a - b = 2

x - y = 10, x + y = 2

x+y=176,4x+5y=796

x + y = 176, 4 x + 5 y = 796

20d+30b=19,35d+40b=295

20 d + 30 b = 19, 35 d + 40 b = 295

3x-y=7,2x+3y=12

3 x - y = 7, 2 x + 3 y = 12

Frequently Asked Questions (FAQ)

What is 3x+y=2,4x-y=4 ?
The solution to 3x+y=2,4x-y=4 is x= 6/7 ,y=-4/7