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Popular >

3x-y=7,2x+3y=12

Solution

3 x - y = 7, 2 x + 3 y = 12

Solution

x = 3, y = 2

Solution steps

[3 x - y = 7 2 x + 3 y = 12]

Isolate

x

for

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

Substitute

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

[2 \cdot \frac{7 + y}{3} + 3 y = 12]

Simplify

[\frac{14 + 11 y}{3} = 12]

Isolate

y

for

\frac{14 + 11 y}{3} = 12 : y = 2

For

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

Substitute

y = 2

x = \frac{7 + 2}{3}

\frac{7 + 2}{3} = 3

x = 3

The solutions to the system of equations are:

x = 3, y = 2

Popular Examples

3x+y=1,2.5x-2y=7

3 x + y = 1, 2.5 x - 2 y = 7

(2)2x+y=7,x-2y=6

(2) 2 x + y = 7, x - 2 y = 6

2x+3y=16,4x+2y=24

2 x + 3 y = 16, 4 x + 2 y = 24

x-3/5*y= 66/5 , 1/10*x+3/4*y=-87/20

x - \frac{3}{5} \cdot y = \frac{66}{5}, \frac{1}{10} \cdot x + \frac{3}{4} \cdot y = - \frac{87}{20}

6x-8y=15,3x+4y=5

6 x - 8 y = 15, 3 x + 4 y = 5

Frequently Asked Questions (FAQ)

What is 3x-y=7,2x+3y=12 ?
The solution to 3x-y=7,2x+3y=12 is x=3,y=2