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Popular >

3x+2y=12,4x-3y=-1

Solution

3 x + 2 y = 12, 4 x - 3 y = - 1

Solution

x = 2, y = 3

Solution steps

[3 x + 2 y = 12 4 x - 3 y = - 1]

Isolate

x

for

3 x + 2 y = 12 : x = \frac{12 - 2 y}{3}

Substitute

x = \frac{12 - 2 y}{3}

[4 \cdot \frac{12 - 2 y}{3} - 3 y = - 1]

Simplify

[\frac{48 - 17 y}{3} = - 1]

Isolate

y

for

\frac{48 - 17 y}{3} = - 1 : y = 3

For

x = \frac{12 - 2 y}{3}

Substitute

y = 3

x = \frac{12 - 2 \cdot 3}{3}

\frac{12 - 2 \cdot 3}{3} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = 3

Popular Examples

2x-3 y/4 =3,5x-2y-7=0

2 x - 3 \frac{y}{4} = 3, 5 x - 2 y - 7 = 0

3x-2y=5,2x-3y=15

3 x - 2 y = 5, 2 x - 3 y = 15

3x-2y=17,4x+y=30

3 x - 2 y = 17, 4 x + y = 30

a = 5, b = 2, c = 1

x - 4 y = 2, 2 x - y = 10

Frequently Asked Questions (FAQ)

What is 3x+2y=12,4x-3y=-1 ?
The solution to 3x+2y=12,4x-3y=-1 is x=2,y=3