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Popular >

2x+3y=13,2x+y=7

Solution

2 x + 3 y = 13, 2 x + y = 7

Solution

x = 2, y = 3

Solution steps

[2 x + 3 y = 13 2 x + y = 7]

Isolate

x

for

2 x + 3 y = 13 : x = \frac{13 - 3 y}{2}

Substitute

x = \frac{13 - 3 y}{2}

[2 \cdot \frac{13 - 3 y}{2} + y = 7]

Simplify

[13 - 2 y = 7]

Isolate

y

for

13 - 2 y = 7 : y = 3

For

x = \frac{13 - 3 y}{2}

Substitute

y = 3

x = \frac{13 - 3 \cdot 3}{2}

\frac{13 - 3 \cdot 3}{2} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = 3

Popular Examples

x+y+1=0,x-y+1=0

x + y + 1 = 0, x - y + 1 = 0

6x+8y=51,0x-8y=51

6 x + 8 y = 51, 0 x - 8 y = 51

3x-((y-3))/5 =6,3y-((x-2))/7 =9

3 x - \frac{( y - 3 )}{5} = 6, 3 y - \frac{( x - 2 )}{7} = 9

2x+3y-4z=1,3x-y-2z=4,4x-7y-6z=-7

2 x + 3 y - 4 z = 1, 3 x - y - 2 z = 4, 4 x - 7 y - 6 z = - 7

5p-4q+3r=9,2p+q-2r=1,4p+3q+4r=1

5 p - 4 q + 3 r = 9, 2 p + q - 2 r = 1, 4 p + 3 q + 4 r = 1

Frequently Asked Questions (FAQ)

What is 2x+3y=13,2x+y=7 ?
The solution to 2x+3y=13,2x+y=7 is x=2,y=3