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Popular >

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

Solution

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

Solution

x = \frac{9}{7}, y = \frac{1}{7}

Solution steps

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

Isolate

x

for

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

Substitute

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

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

Simplify

[\frac{3 + 7 y}{2} = 2]

Isolate

y

for

\frac{3 + 7 y}{2} = 2 : y = \frac{1}{7}

For

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

Substitute

y = \frac{1}{7}

x = \frac{3 - 3 \cdot \frac{1}{7}}{2}

\frac{3 - 3 \cdot \frac{1}{7}}{2} = \frac{9}{7}

x = \frac{9}{7}

The solutions to the system of equations are:

x = \frac{9}{7}, y = \frac{1}{7}

Popular Examples

x-y=6,x+y=8,2x+2y=0

x - y = 6, x + y = 8, 2 x + 2 y = 0

5x+7y=-11,0x+14y=-2

5 x + 7 y = - 11, 0 x + 14 y = - 2

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

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

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

Frequently Asked Questions (FAQ)

What is 2x+3y=3,x+5y=2 ?
The solution to 2x+3y=3,x+5y=2 is x= 9/7 ,y= 1/7