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Popular >

4x-3y=7,5x-2y=14

Solution

4 x - 3 y = 7, 5 x - 2 y = 14

Solution

x = 4, y = 3

Solution steps

[4 x - 3 y = 7 5 x - 2 y = 14]

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} - 2 y = 14]

Simplify

[\frac{35 + 7 y}{4} = 14]

Isolate

y

for

\frac{35 + 7 y}{4} = 14 : y = 3

For

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

Substitute

y = 3

x = \frac{7 + 3 \cdot 3}{4}

\frac{7 + 3 \cdot 3}{4} = 4

x = 4

The solutions to the system of equations are:

x = 4, y = 3

Popular Examples

6x+9y=-33,5x-y=32

6 x + 9 y = - 33, 5 x - y = 32

2x+3y=13,4x-y=5

2 x + 3 y = 13, 4 x - y = 5

3x+2y=29,5x-y=18

3 x + 2 y = 29, 5 x - y = 18

4x-3y=10,3x+y=1

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

3x+2y=6,2x+3y=5

3 x + 2 y = 6, 2 x + 3 y = 5

Frequently Asked Questions (FAQ)

What is 4x-3y=7,5x-2y=14 ?
The solution to 4x-3y=7,5x-2y=14 is x=4,y=3