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Popular >

2x+y=6,3x-y=14

Solution

2 x + y = 6, 3 x - y = 14

Solution

x = 4, y = - 2

Solution steps

[2 x + y = 6 3 x - y = 14]

Isolate

x

for

2 x + y = 6 : x = \frac{6 - y}{2}

Substitute

x = \frac{6 - y}{2}

[3 \cdot \frac{6 - y}{2} - y = 14]

Simplify

[\frac{18 - 5 y}{2} = 14]

Isolate

y

for

\frac{18 - 5 y}{2} = 14 : y = - 2

For

x = \frac{6 - y}{2}

Substitute

y = - 2

x = \frac{6 - ( - 2 )}{2}

\frac{6 - ( - 2 )}{2} = 4

x = 4

The solutions to the system of equations are:

x = 4, y = - 2

Popular Examples

a = - 1, 7 b = + 15

10x+51y=617,97x+49y=583

10 x + 51 y = 617, 97 x + 49 y = 583

5x-4y=2,6x-3y=2

5 x - 4 y = 2, 6 x - 3 y = 2

3x=9*3y,8*2y=4x

3 x = 9 \cdot 3 y, 8 \cdot 2 y = 4 x

x+y+z=6,x-y+z=2,x+2y-z=2

x + y + z = 6, x - y + z = 2, x + 2 y - z = 2

Frequently Asked Questions (FAQ)

What is 2x+y=6,3x-y=14 ?
The solution to 2x+y=6,3x-y=14 is x=4,y=-2