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Popular >

3x-2y=13,4x+3y=23

Solution

3 x - 2 y = 13, 4 x + 3 y = 23

Solution

x = 5, y = 1

Solution steps

[3 x - 2 y = 13 4 x + 3 y = 23]

Isolate

x

for

3 x - 2 y = 13 : x = \frac{13 + 2 y}{3}

Substitute

x = \frac{13 + 2 y}{3}

[4 \cdot \frac{13 + 2 y}{3} + 3 y = 23]

Simplify

[\frac{52 + 17 y}{3} = 23]

Isolate

y

for

\frac{52 + 17 y}{3} = 23 : y = 1

For

x = \frac{13 + 2 y}{3}

Substitute

y = 1

x = \frac{13 + 2 \cdot 1}{3}

\frac{13 + 2 \cdot 1}{3} = 5

x = 5

The solutions to the system of equations are:

x = 5, y = 1

Popular Examples

y=-4x+16,-3x+8y=2

y = - 4 x + 16, - 3 x + 8 y = 2

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

2 x - y = 5, x + 3 y = - 1

4a=5,b+52a=3b+2

4 a = 5, b + 52 a = 3 b + 2

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

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

Frequently Asked Questions (FAQ)

What is 3x-2y=13,4x+3y=23 ?
The solution to 3x-2y=13,4x+3y=23 is x=5,y=1