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Popular >

4x+5y=5,7x-2y=41

Solution

4 x + 5 y = 5, 7 x - 2 y = 41

Solution

x = 5, y = - 3

Solution steps

[4 x + 5 y = 5 7 x - 2 y = 41]

Isolate

x

for

4 x + 5 y = 5 : x = \frac{5 - 5 y}{4}

Substitute

x = \frac{5 - 5 y}{4}

[7 \cdot \frac{5 - 5 y}{4} - 2 y = 41]

Simplify

[\frac{35 - 43 y}{4} = 41]

Isolate

y

for

\frac{35 - 43 y}{4} = 41 : y = - 3

For

x = \frac{5 - 5 y}{4}

Substitute

y = - 3

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

\frac{5 - 5 ( - 3 )}{4} = 5

x = 5

The solutions to the system of equations are:

x = 5, y = - 3

Popular Examples

5x+3y=1,4x-2y=8

5 x + 3 y = 1, 4 x - 2 y = 8

x/5-y/4 =0,3x+y/2 =17

\frac{x}{5} - \frac{y}{4} = 0, 3 x + \frac{y}{2} = 17

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

3-x/8 =5, x/8 =5 x/2-2/3 (x-4)+5

3 - \frac{x}{8} = 5, \frac{x}{8} = 5 \frac{x}{2} - \frac{2}{3} (x - 4) + 5

x - 1 = 3, y - 2 = 9

Frequently Asked Questions (FAQ)

What is 4x+5y=5,7x-2y=41 ?
The solution to 4x+5y=5,7x-2y=41 is x=5,y=-3