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Popular >

x-5y=10,3x+y=6

Solution

x - 5 y = 10, 3 x + y = 6

Solution

x = \frac{5}{2}, y = - \frac{3}{2}

Solution steps

[x - 5 y = 10 3 x + y = 6]

Isolate

x

for

x - 5 y = 10 : x = 10 + 5 y

Substitute

x = 10 + 5 y

[3 (10 + 5 y) + y = 6]

Simplify

[30 + 16 y = 6]

Isolate

y

for

30 + 16 y = 6 : y = - \frac{3}{2}

For

x = 10 + 5 y

Substitute

y = - \frac{3}{2}

x = 10 + 5 (- \frac{3}{2})

10 + 5 (- \frac{3}{2}) = \frac{5}{2}

x = \frac{5}{2}

The solutions to the system of equations are:

x = \frac{5}{2}, y = - \frac{3}{2}

Popular Examples

5 x - 9 y = 2, x + 4 y = 1

5 x + y = 9, x - 2 y = 4

y+2x-19=0,2x-3y+3=0

y + 2 x - 19 = 0, 2 x - 3 y + 3 = 0

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

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

Frequently Asked Questions (FAQ)

What is x-5y=10,3x+y=6 ?
The solution to x-5y=10,3x+y=6 is x= 5/2 ,y=-3/2