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Popular >

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

Solution

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

Solution

x = 6, y = 1

Solution steps

[2 x - 3 y = 9 2 x + y = 13]

Isolate

x

for

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

Substitute

x = \frac{9 + 3 y}{2}

[2 \cdot \frac{9 + 3 y}{2} + y = 13]

Simplify

[9 + 4 y = 13]

Isolate

y

for

9 + 4 y = 13 : y = 1

For

x = \frac{9 + 3 y}{2}

Substitute

y = 1

x = \frac{9 + 3 \cdot 1}{2}

\frac{9 + 3 \cdot 1}{2} = 6

x = 6

The solutions to the system of equations are:

x = 6, y = 1

Popular Examples

2x+3y=-1,3x+4y=0

2 x + 3 y = - 1, 3 x + 4 y = 0

3x-2y=-3,6x+2y=12

3 x - 2 y = - 3, 6 x + 2 y = 12

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

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

7x-15y=1,-x-6y=8

7 x - 15 y = 1, - x - 6 y = 8

3x+5y=8,2x-4y=-2

3 x + 5 y = 8, 2 x - 4 y = - 2

Frequently Asked Questions (FAQ)

What is 2x-3y=9,2x+y=13 ?
The solution to 2x-3y=9,2x+y=13 is x=6,y=1