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Popular >

3y-x=5,2y+x=-10

Solution

3 y - x = 5, 2 y + x = - 10

Solution

x = - 8, y = - 1

Solution steps

[3 y - x = 5 2 y + x = - 10]

Isolate

y

for

3 y - x = 5 : y = \frac{5 + x}{3}

Substitute

y = \frac{5 + x}{3}

[2 \cdot \frac{5 + x}{3} + x = - 10]

Simplify

[\frac{10 + 5 x}{3} = - 10]

Isolate

x

for

\frac{10 + 5 x}{3} = - 10 : x = - 8

For

y = \frac{5 + x}{3}

Substitute

x = - 8

y = \frac{5 - 8}{3}

\frac{5 - 8}{3} = - 1

y = - 1

The solutions to the system of equations are:

x = - 8, y = - 1

Popular Examples

x+y+z=1,2x-2y+z=3,-3x+y+2z=0

x + y + z = 1, 2 x - 2 y + z = 3, - 3 x + y + 2 z = 0

1/2*x+1/3*y=3,x+1/2*y=5

\frac{1}{2} \cdot x + \frac{1}{3} \cdot y = 3, x + \frac{1}{2} \cdot y = 5

-1/8*x+y= 33/4 ,-1/9*x-1/10*y=-47/30

- \frac{1}{8} \cdot x + y = \frac{33}{4}, - \frac{1}{9} \cdot x - \frac{1}{10} \cdot y = - \frac{47}{30}

9x+3y=33,3x+9y=51

9 x + 3 y = 33, 3 x + 9 y = 51

16x+11y=15,411x+16y=89

16 x + 11 y = 15, 411 x + 16 y = 89

Frequently Asked Questions (FAQ)

What is 3y-x=5,2y+x=-10 ?
The solution to 3y-x=5,2y+x=-10 is x=-8,y=-1