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Popular >

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

Solution

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

Solution

x = 3, y = 2

Solution steps

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

Isolate

x

for

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

Substitute

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

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

Simplify

[\frac{12 - 5 y}{2} = 1]

Isolate

y

for

\frac{12 - 5 y}{2} = 1 : y = 2

For

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

Substitute

y = 2

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

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

x = 3

The solutions to the system of equations are:

x = 3, y = 2

Popular Examples

3y-7x=-29,7x+11y=1

3 y - 7 x = - 29, 7 x + 11 y = 1

7x+2y=31,5x+3y=30

7 x + 2 y = 31, 5 x + 3 y = 30

4x-3y+4=0,4x+3y-20=0

4 x - 3 y + 4 = 0, 4 x + 3 y - 20 = 0

5x-3y=20,9y-4x=17

5 x - 3 y = 20, 9 y - 4 x = 17

2x+3y=8,x-2y+3=0

2 x + 3 y = 8, x - 2 y + 3 = 0

Frequently Asked Questions (FAQ)

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