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Popular >

3x-y=10,2x+5y=1

Solution

3 x - y = 10, 2 x + 5 y = 1

Solution

x = 3, y = - 1

Solution steps

[3 x - y = 10 2 x + 5 y = 1]

Isolate

x

for

3 x - y = 10 : x = \frac{10 + y}{3}

Substitute

x = \frac{10 + y}{3}

[2 \cdot \frac{10 + y}{3} + 5 y = 1]

Simplify

[\frac{20 + 17 y}{3} = 1]

Isolate

y

for

\frac{20 + 17 y}{3} = 1 : y = - 1

For

x = \frac{10 + y}{3}

Substitute

y = - 1

x = \frac{10 - 1}{3}

\frac{10 - 1}{3} = 3

x = 3

The solutions to the system of equations are:

x = 3, y = - 1

Popular Examples

x/2+y/3 =9, x/5-y/4 =-1

\frac{x}{2} + \frac{y}{3} = 9, \frac{x}{5} - \frac{y}{4} = - 1

2x-3y=8,3x+y=-10

2 x - 3 y = 8, 3 x + y = - 10

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

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

3x+2y=1,1x-4y=13

3 x + 2 y = 1, 1 x - 4 y = 13

2 x + y = 1, - x + 2 y = 9

Frequently Asked Questions (FAQ)

What is 3x-y=10,2x+5y=1 ?
The solution to 3x-y=10,2x+5y=1 is x=3,y=-1