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Popular >

(3)2x-3y=9,2x+y=13

Solution

(3) 2 x - 3 y = 9, 2 x + y = 13

Solution

x = 4, y = 5

Solution steps

[(3) \cdot 2 x - 3 y = 9 2 x + y = 13]

Isolate

x

for

(3) 2 x - 3 y = 9 : x = \frac{3 + y}{2}

Substitute

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

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

Simplify

[3 + 2 y = 13]

Isolate

y

for

3 + 2 y = 13 : y = 5

For

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

Substitute

y = 5

x = \frac{3 + 5}{2}

\frac{3 + 5}{2} = 4

x = 4

The solutions to the system of equations are:

x = 4, y = 5

Popular Examples

3x+4y=17,5x-2y=11

3 x + 4 y = 17, 5 x - 2 y = 11

4x+3y=3,7-4x+2y=-2

4 x + 3 y = 3, 7 - 4 x + 2 y = - 2

x + 2 y = 7, 5 x + y = 8

6x+12y-18z=12,64+6y+127=12,11x-3y-2=7

6 x + 12 y - 18 z = 12, 64 + 6 y + 127 = 12, 11 x - 3 y - 2 = 7

x + y = 1, 1 x - y = - 7

Frequently Asked Questions (FAQ)

What is (3)2x-3y=9,2x+y=13 ?
The solution to (3)2x-3y=9,2x+y=13 is x=4,y=5