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Popular >

2x-3y=14,5x+2y=16

Solution

2 x - 3 y = 14, 5 x + 2 y = 16

Solution

x = 4, y = - 2

Solution steps

[2 x - 3 y = 14 5 x + 2 y = 16]

Isolate

x

for

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

Substitute

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

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

Simplify

[\frac{70 + 19 y}{2} = 16]

Isolate

y

for

\frac{70 + 19 y}{2} = 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

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

3x-y=7-,x+4y=11

3 x - y = 7 -, x + 4 y = 11

3x-2y=-7,4x-y=-6

3 x - 2 y = - 7, 4 x - y = - 6

x-y=20,8x-8y=160

x - y = 20, 8 x - 8 y = 160

(3)x+y=0,2x-y=9

(3) x + y = 0, 2 x - y = 9

Frequently Asked Questions (FAQ)

What is 2x-3y=14,5x+2y=16 ?
The solution to 2x-3y=14,5x+2y=16 is x=4,y=-2