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Popular >

x-2y=5,3x+y=9

Solution

x - 2 y = 5, 3 x + y = 9

Solution

x = \frac{23}{7}, y = - \frac{6}{7}

Solution steps

[x - 2 y = 5 3 x + y = 9]

Isolate

x

for

x - 2 y = 5 : x = 5 + 2 y

Substitute

x = 5 + 2 y

[3 (5 + 2 y) + y = 9]

Simplify

[15 + 7 y = 9]

Isolate

y

for

15 + 7 y = 9 : y = - \frac{6}{7}

For

x = 5 + 2 y

Substitute

y = - \frac{6}{7}

x = 5 + 2 (- \frac{6}{7})

5 + 2 (- \frac{6}{7}) = \frac{23}{7}

x = \frac{23}{7}

The solutions to the system of equations are:

x = \frac{23}{7}, y = - \frac{6}{7}

Popular Examples

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

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

5x+3y=21,x+2y=12

5 x + 3 y = 21, x + 2 y = 12

2 x/a+y/b =2, x/a-y/b =4

2 \frac{x}{a} + \frac{y}{b} = 2, \frac{x}{a} - \frac{y}{b} = 4

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

((x+3))/2-((y-1))/3 =1,((x+y))/5 =1

\frac{( x + 3 )}{2} - \frac{( y - 1 )}{3} = 1, \frac{( x + y )}{5} = 1

Frequently Asked Questions (FAQ)

What is x-2y=5,3x+y=9 ?
The solution to x-2y=5,3x+y=9 is x= 23/7 ,y=-6/7