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Popular >

2x+y=5,x-3y=6

Solution

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

Solution

x = 3, y = - 1

Solution steps

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

Isolate

x

for

2 x + y = 5 : x = \frac{5 - y}{2}

Substitute

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

[\frac{5 - y}{2} - 3 y = 6]

Simplify

[\frac{5 - 7 y}{2} = 6]

Isolate

y

for

\frac{5 - 7 y}{2} = 6 : y = - 1

For

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

Substitute

y = - 1

x = \frac{5 - ( - 1 )}{2}

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

x = 3

The solutions to the system of equations are:

x = 3, y = - 1

Popular Examples

8x+5y=9,3x+2y=4

8 x + 5 y = 9, 3 x + 2 y = 4

3x+2y=4,9x+6y=12

3 x + 2 y = 4, 9 x + 6 y = 12

4x-y=12,2x+3y=-5

4 x - y = 12, 2 x + 3 y = - 5

3x-4y=10,4x+3y=5

3 x - 4 y = 10, 4 x + 3 y = 5

-9x-((9y))/7 =15,-3x+2/9*y=7

- 9 x - \frac{( 9 y )}{7} = 15, - 3 x + \frac{2}{9} \cdot y = 7

Frequently Asked Questions (FAQ)

What is 2x+y=5,x-3y=6 ?
The solution to 2x+y=5,x-3y=6 is x=3,y=-1