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Popular >

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

Solution

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

Solution

x = 2, y = 3

Solution steps

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

Isolate

x

for

x + 3 y = 11 : x = 11 - 3 y

Substitute

x = 11 - 3 y

[4 (11 - 3 y) - y = 5]

Simplify

[44 - 13 y = 5]

Isolate

y

for

44 - 13 y = 5 : y = 3

For

x = 11 - 3 y

Substitute

y = 3

x = 11 - 3 \cdot 3

Simplify

x = 2

The solutions to the system of equations are:

x = 2, y = 3

Popular Examples

x - y = 8, 3 x - 3 y = 16

3x-4 y/2 =10,3x+2 y/4 =2

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

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

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

x-y+3z-t=5,-2z+t=6,-3t=-12

x - y + 3 z - t = 5, - 2 z + t = 6, - 3 t = - 12

3x+2y=6,2x+3y=9

3 x + 2 y = 6, 2 x + 3 y = 9

Frequently Asked Questions (FAQ)

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