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Popular >

5x+3y=8,3x+y=2

Solution

5 x + 3 y = 8, 3 x + y = 2

Solution

x = - \frac{1}{2}, y = \frac{7}{2}

Solution steps

[5 x + 3 y = 8 3 x + y = 2]

Isolate

x

for

5 x + 3 y = 8 : x = \frac{8 - 3 y}{5}

Substitute

x = \frac{8 - 3 y}{5}

[3 \cdot \frac{8 - 3 y}{5} + y = 2]

Simplify

[\frac{24 - 4 y}{5} = 2]

Isolate

y

for

\frac{24 - 4 y}{5} = 2 : y = \frac{7}{2}

For

x = \frac{8 - 3 y}{5}

Substitute

y = \frac{7}{2}

x = \frac{8 - 3 \cdot \frac{7}{2}}{5}

\frac{8 - 3 \cdot \frac{7}{2}}{5} = - \frac{1}{2}

x = - \frac{1}{2}

The solutions to the system of equations are:

x = - \frac{1}{2}, y = \frac{7}{2}

Popular Examples

3x+5y=40,2x+4y=25

3 x + 5 y = 40, 2 x + 4 y = 25

3x-y=17,2x+3y=-4

3 x - y = 17, 2 x + 3 y = - 4

((x+y))/((x-y))=-7,((x+y+1))/((x+y-1))= 3/4

\frac{( x + y )}{( x - y )} = - 7, \frac{( x + y + 1 )}{( x + y - 1 )} = \frac{3}{4}

1x-2y=5,2x+3y=24

1 x - 2 y = 5, 2 x + 3 y = 24

5x-y=7,3x+2y=12

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

Frequently Asked Questions (FAQ)

What is 5x+3y=8,3x+y=2 ?
The solution to 5x+3y=8,3x+y=2 is x=-1/2 ,y= 7/2