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Popular >

2x-3y=14,6x+4y=16

Solution

2 x - 3 y = 14, 6 x + 4 y = 16

Solution

x = 4, y = - 2

Solution steps

[2 x - 3 y = 14 6 x + 4 y = 16]

Isolate

x

for

2 x - 3 y = 14 : x = \frac{14 + 3 y}{2}

Substitute

x = \frac{14 + 3 y}{2}

[6 \cdot \frac{14 + 3 y}{2} + 4 y = 16]

Simplify

[13 y + 42 = 16]

Isolate

y

for

13 y + 42 = 16 : y = - 2

For

x = \frac{14 + 3 y}{2}

Substitute

y = - 2

x = \frac{14 + 3 ( - 2 )}{2}

\frac{14 + 3 ( - 2 )}{2} = 4

x = 4

The solutions to the system of equations are:

x = 4, y = - 2

Popular Examples

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

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

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

3x+4y=-7,-3x-8y=-1

3 x + 4 y = - 7, - 3 x - 8 y = - 1

4x-y=20,7x+2y=18

4 x - y = 20, 7 x + 2 y = 18

x-2y=3,x+4y-20=0

x - 2 y = 3, x + 4 y - 20 = 0

Frequently Asked Questions (FAQ)

What is 2x-3y=14,6x+4y=16 ?
The solution to 2x-3y=14,6x+4y=16 is x=4,y=-2