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Popular >

3x+5y=8,7x-9y=7

Solution

3 x + 5 y = 8, 7 x - 9 y = 7

Solution

x = \frac{107}{62}, y = \frac{35}{62}

Solution steps

[3 x + 5 y = 8 7 x - 9 y = 7]

Isolate

x

for

3 x + 5 y = 8 : x = \frac{8 - 5 y}{3}

Substitute

x = \frac{8 - 5 y}{3}

[7 \cdot \frac{8 - 5 y}{3} - 9 y = 7]

Simplify

[\frac{56 - 62 y}{3} = 7]

Isolate

y

for

\frac{56 - 62 y}{3} = 7 : y = \frac{35}{62}

For

x = \frac{8 - 5 y}{3}

Substitute

y = \frac{35}{62}

x = \frac{8 - 5 \cdot \frac{35}{62}}{3}

\frac{8 - 5 \cdot \frac{35}{62}}{3} = \frac{107}{62}

x = \frac{107}{62}

The solutions to the system of equations are:

x = \frac{107}{62}, y = \frac{35}{62}

Popular Examples

x+2y=-4,3x-2y=20

x + 2 y = - 4, 3 x - 2 y = 20

2 x + 4 y = 8, x + 2 y = 4

x+5y=-21,-2x+3y=3

x + 5 y = - 21, - 2 x + 3 y = 3

x/(10)+y/5-1=0, x/8+y/6 =2

\frac{x}{10} + \frac{y}{5} - 1 = 0, \frac{x}{8} + \frac{y}{6} = 2

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

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

Frequently Asked Questions (FAQ)

What is 3x+5y=8,7x-9y=7 ?
The solution to 3x+5y=8,7x-9y=7 is x= 107/62 ,y= 35/62