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Popular >

5x-3y=11,4x+y=2

Solution

5 x - 3 y = 11, 4 x + y = 2

Solution

x = 1, y = - 2

Solution steps

[5 x - 3 y = 11 4 x + y = 2]

Isolate

x

for

5 x - 3 y = 11 : x = \frac{11 + 3 y}{5}

Substitute

x = \frac{11 + 3 y}{5}

[4 \cdot \frac{11 + 3 y}{5} + y = 2]

Simplify

[\frac{44 + 17 y}{5} = 2]

Isolate

y

for

\frac{44 + 17 y}{5} = 2 : y = - 2

For

x = \frac{11 + 3 y}{5}

Substitute

y = - 2

x = \frac{11 + 3 ( - 2 )}{5}

\frac{11 + 3 ( - 2 )}{5} = 1

x = 1

The solutions to the system of equations are:

x = 1, y = - 2

Popular Examples

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

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

2x+3y=8,5x-2y=1

2 x + 3 y = 8, 5 x - 2 y = 1

2a+3y(a)=4,3a+y(a)=5

2 a + 3 y (a) = 4, 3 a + y (a) = 5

x + y = 6, 2 x + y = 20

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

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

Frequently Asked Questions (FAQ)

What is 5x-3y=11,4x+y=2 ?
The solution to 5x-3y=11,4x+y=2 is x=1,y=-2