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Popular >

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

Solution

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

Solution

x = \frac{5}{2}, y = - \frac{7}{2}

Solution steps

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

Isolate

x

for

3 x + y = 4 : x = \frac{4 - y}{3}

Substitute

x = \frac{4 - y}{3}

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

Simplify

[\frac{16 + 2 y}{3} = 3]

Isolate

y

for

\frac{16 + 2 y}{3} = 3 : y = - \frac{7}{2}

For

x = \frac{4 - y}{3}

Substitute

y = - \frac{7}{2}

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

\frac{4 - ( - \frac{7}{2} )}{3} = \frac{5}{2}

x = \frac{5}{2}

The solutions to the system of equations are:

x = \frac{5}{2}, y = - \frac{7}{2}

Popular Examples

2x-3y=14,6x+4y=16

2 x - 3 y = 14, 6 x + 4 y = 16

3x+2y=1,4-x+4y=7

3 x + 2 y = 1, 4 - x + 4 y = 7

x - y = 4, x + 3 y = 0

3x+4y=-7,-3x-8y=-1

3 x + 4 y = - 7, - 3 x - 8 y = - 1

4x-y=20,7x+2y=18

4 x - y = 20, 7 x + 2 y = 18

Frequently Asked Questions (FAQ)

What is 3x+y=4,4x+2y=3 ?
The solution to 3x+y=4,4x+2y=3 is x= 5/2 ,y=-7/2