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Popular >

4x+3y=7,7x-5y=43

Solution

4 x + 3 y = 7, 7 x - 5 y = 43

Solution

x = 4, y = - 3

Solution steps

[4 x + 3 y = 7 7 x - 5 y = 43]

Isolate

x

for

4 x + 3 y = 7 : x = \frac{7 - 3 y}{4}

Substitute

x = \frac{7 - 3 y}{4}

[7 \cdot \frac{7 - 3 y}{4} - 5 y = 43]

Simplify

[\frac{49 - 41 y}{4} = 43]

Isolate

y

for

\frac{49 - 41 y}{4} = 43 : y = - 3

For

x = \frac{7 - 3 y}{4}

Substitute

y = - 3

x = \frac{7 - 3 ( - 3 )}{4}

\frac{7 - 3 ( - 3 )}{4} = 4

x = 4

The solutions to the system of equations are:

x = 4, y = - 3

Popular Examples

2x+7y=3,5x+4y=-6

2 x + 7 y = 3, 5 x + 4 y = - 6

2 x - 2 y = 4, x + 6 y = 0

x - 22 x + y = 8, y = 3

c = 10, b = 8

x + y = 6, 2 x - 3 y = 4

Frequently Asked Questions (FAQ)

What is 4x+3y=7,7x-5y=43 ?
The solution to 4x+3y=7,7x-5y=43 is x=4,y=-3