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Popular >

2x+y=3,-4x+5y=-13

Solution

2 x + y = 3, - 4 x + 5 y = - 13

Solution

x = 2, y = - 1

Solution steps

[2 x + y = 3 - 4 x + 5 y = - 13]

Isolate

x

for

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

Substitute

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

[- 4 \cdot \frac{3 - y}{2} + 5 y = - 13]

Simplify

[7 y - 6 = - 13]

Isolate

y

for

7 y - 6 = - 13 : y = - 1

For

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

Substitute

y = - 1

x = \frac{3 - ( - 1 )}{2}

\frac{3 - ( - 1 )}{2} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = - 1

Popular Examples

3x-y+5=3,x-y-2=0

3 x - y + 5 = 3, x - y - 2 = 0

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

x+y=2,x-z=0,w(x,y,z)=2x+y-z

x + y = 2, x - z = 0, w (x, y, z) = 2 x + y - z

2/x-3/y =9, 5/x+1/y =7

\frac{2}{x} - \frac{3}{y} = 9, \frac{5}{x} + \frac{1}{y} = 7

y = 2 x + 9, 3 x + 2 y = 4

Frequently Asked Questions (FAQ)

What is 2x+y=3,-4x+5y=-13 ?
The solution to 2x+y=3,-4x+5y=-13 is x=2,y=-1