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Popular >

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

Solution

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

Solution

x = 7, y = 3

Solution steps

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

Isolate

x

for

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

Substitute

x = \frac{5 + 3 y}{2}

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

Simplify

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

Isolate

y

for

\frac{5 + 5 y}{2} = 10 : y = 3

For

x = \frac{5 + 3 y}{2}

Substitute

y = 3

x = \frac{5 + 3 \cdot 3}{2}

\frac{5 + 3 \cdot 3}{2} = 7

x = 7

The solutions to the system of equations are:

x = 7, y = 3

Popular Examples

x + y = 9, 2 x - 3 y = - 7

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

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

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

Frequently Asked Questions (FAQ)

What is 2x-3y=5,x+y=10 ?
The solution to 2x-3y=5,x+y=10 is x=7,y=3