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Popular >

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

Solution

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

Solution

x = \frac{8}{3}, y = - \frac{7}{3}

Solution steps

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

Isolate

x

for

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

Substitute

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

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

Simplify

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

Isolate

y

for

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

For

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

Substitute

y = - \frac{7}{3}

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

\frac{3 - ( - \frac{7}{3} )}{2} = \frac{8}{3}

x = \frac{8}{3}

The solutions to the system of equations are:

x = \frac{8}{3}, y = - \frac{7}{3}

Popular Examples

x = 4, y = 3

2/((3x))=4,m-5= 2/7

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

m + 2 n = 4, 3 m - m = 16

x/2+y/3 =4, x/4+y/6 =2

\frac{x}{2} + \frac{y}{3} = 4, \frac{x}{4} + \frac{y}{6} = 2

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

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

Frequently Asked Questions (FAQ)

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