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Popular >

4x+3y=7,5x-4y=32

Solution

4 x + 3 y = 7, 5 x - 4 y = 32

Solution

x = 4, y = - 3

Solution steps

[4 x + 3 y = 7 5 x - 4 y = 32]

Isolate

x

for

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

Substitute

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

[5 \cdot \frac{7 - 3 y}{4} - 4 y = 32]

Simplify

[\frac{35 - 31 y}{4} = 32]

Isolate

y

for

\frac{35 - 31 y}{4} = 32 : 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

x+3y=5,2x-3y=-8

x + 3 y = 5, 2 x - 3 y = - 8

7x-4y=5,9x+8y=13

7 x - 4 y = 5, 9 x + 8 y = 13

3x+2y=-12,2x-3y=5

3 x + 2 y = - 12, 2 x - 3 y = 5

3x+y=1,-4x-3y=7

3 x + y = 1, - 4 x - 3 y = 7

8x+3y=30,5x+3y=21

8 x + 3 y = 30, 5 x + 3 y = 21

Frequently Asked Questions (FAQ)

What is 4x+3y=7,5x-4y=32 ?
The solution to 4x+3y=7,5x-4y=32 is x=4,y=-3