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Popular >

3x-4y=41,11x+6y=47

Solution

3 x - 4 y = 41, 11 x + 6 y = 47

Solution

x = 7, y = - 5

Solution steps

[3 x - 4 y = 41 11 x + 6 y = 47]

Isolate

x

for

3 x - 4 y = 41 : x = \frac{41 + 4 y}{3}

Substitute

x = \frac{41 + 4 y}{3}

[11 \cdot \frac{41 + 4 y}{3} + 6 y = 47]

Simplify

[\frac{451 + 62 y}{3} = 47]

Isolate

y

for

\frac{451 + 62 y}{3} = 47 : y = - 5

For

x = \frac{41 + 4 y}{3}

Substitute

y = - 5

x = \frac{41 + 4 ( - 5 )}{3}

\frac{41 + 4 ( - 5 )}{3} = 7

x = 7

The solutions to the system of equations are:

x = 7, y = - 5

Popular Examples

x + 3 y = 13, 3 x + y = 7

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

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

7a+5b=30,2a-3b=18

7 a + 5 b = 30, 2 a - 3 b = 18

4x+7y=41,8x-6y=22

4 x + 7 y = 41, 8 x - 6 y = 22

x-y+2=0,2x+3y-5z=0,3x-4y+21=-1

x - y + 2 = 0, 2 x + 3 y - 5 z = 0, 3 x - 4 y + 21 = - 1

Frequently Asked Questions (FAQ)

What is 3x-4y=41,11x+6y=47 ?
The solution to 3x-4y=41,11x+6y=47 is x=7,y=-5