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Popular >

2x+y=10,3x+4y=25

Solution

2 x + y = 10, 3 x + 4 y = 25

Solution

x = 3, y = 4

Solution steps

[2 x + y = 10 3 x + 4 y = 25]

Isolate

x

for

2 x + y = 10 : x = \frac{10 - y}{2}

Substitute

x = \frac{10 - y}{2}

[3 \cdot \frac{10 - y}{2} + 4 y = 25]

Simplify

[\frac{30 + 5 y}{2} = 25]

Isolate

y

for

\frac{30 + 5 y}{2} = 25 : y = 4

For

x = \frac{10 - y}{2}

Substitute

y = 4

x = \frac{10 - 4}{2}

\frac{10 - 4}{2} = 3

x = 3

The solutions to the system of equations are:

x = 3, y = 4

Popular Examples

5x+9y=51,8x+9y=22

5 x + 9 y = 51, 8 x + 9 y = 22

x + y = 9, 8 x - y = 0

4/x+3/y =1, 8/x-9/y =7

\frac{4}{x} + \frac{3}{y} = 1, \frac{8}{x} - \frac{9}{y} = 7

x - 2 y = 5, 3 x + y = 9

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

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

Frequently Asked Questions (FAQ)

What is 2x+y=10,3x+4y=25 ?
The solution to 2x+y=10,3x+4y=25 is x=3,y=4