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Popular >

2x-5y=14,3x+y=4

Solution

2 x - 5 y = 14, 3 x + y = 4

Solution

x = 2, y = - 2

Solution steps

[2 x - 5 y = 14 3 x + y = 4]

Isolate

x

for

2 x - 5 y = 14 : x = \frac{14 + 5 y}{2}

Substitute

x = \frac{14 + 5 y}{2}

[3 \cdot \frac{14 + 5 y}{2} + y = 4]

Simplify

[\frac{42 + 17 y}{2} = 4]

Isolate

y

for

\frac{42 + 17 y}{2} = 4 : y = - 2

For

x = \frac{14 + 5 y}{2}

Substitute

y = - 2

x = \frac{14 + 5 ( - 2 )}{2}

\frac{14 + 5 ( - 2 )}{2} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = - 2

Popular Examples

x = 6, y = 3

5x+3y=10,2x+6/5 y=4

5 x + 3 y = 10, 2 x + \frac{6}{5} y = 4

71x+37y=25,337x+71y=287

71 x + 37 y = 25, 337 x + 71 y = 287

a = 5, b = 4

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

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

Frequently Asked Questions (FAQ)

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