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Popular >

7x-3y=31,9x-5y=41

Solution

7 x - 3 y = 31, 9 x - 5 y = 41

Solution

x = 4, y = - 1

Solution steps

[7 x - 3 y = 31 9 x - 5 y = 41]

Isolate

x

for

7 x - 3 y = 31 : x = \frac{31 + 3 y}{7}

Substitute

x = \frac{31 + 3 y}{7}

[9 \cdot \frac{31 + 3 y}{7} - 5 y = 41]

Simplify

[\frac{279 - 8 y}{7} = 41]

Isolate

y

for

\frac{279 - 8 y}{7} = 41 : y = - 1

For

x = \frac{31 + 3 y}{7}

Substitute

y = - 1

x = \frac{31 + 3 ( - 1 )}{7}

\frac{31 + 3 ( - 1 )}{7} = 4

x = 4

The solutions to the system of equations are:

x = 4, y = - 1

Popular Examples

6x+4y=8,-x-4y=12

6 x + 4 y = 8, - x - 4 y = 12

x-3y=1,4x-5y=22

x - 3 y = 1, 4 x - 5 y = 22

5x+2y=7,2x-3y=18

5 x + 2 y = 7, 2 x - 3 y = 18

2 b = 2, a = 1

x + 2 y = 6, x - y = 1

Frequently Asked Questions (FAQ)

What is 7x-3y=31,9x-5y=41 ?
The solution to 7x-3y=31,9x-5y=41 is x=4,y=-1