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Popular >

3a+b=13,-4a+b=-36

Solution

3 a + b = 13, - 4 a + b = - 36

Solution

a = 7, b = - 8

Solution steps

[3 a + b = 13 - 4 a + b = - 36]

Isolate

a

for

3 a + b = 13 : a = \frac{13 - b}{3}

Substitute

a = \frac{13 - b}{3}

[- 4 \cdot \frac{13 - b}{3} + b = - 36]

Simplify

[\frac{- 52 + 7 b}{3} = - 36]

Isolate

b

for

\frac{- 52 + 7 b}{3} = - 36 : b = - 8

For

a = \frac{13 - b}{3}

Substitute

b = - 8

a = \frac{13 - ( - 8 )}{3}

\frac{13 - ( - 8 )}{3} = 7

a = 7

The solutions to the system of equations are:

a = 7, b = - 8

Popular Examples

x + 2 y = 4, 2 x + y = 2

x + y = 47, 2 x + y = 79

2x+3y=33,4x-2y=10

2 x + 3 y = 33, 4 x - 2 y = 10

z = - 3, x = 4, y = 0

-7x+6y=-5,2x+4y=-10

- 7 x + 6 y = - 5, 2 x + 4 y = - 10

Frequently Asked Questions (FAQ)

What is 3a+b=13,-4a+b=-36 ?
The solution to 3a+b=13,-4a+b=-36 is a=7,b=-8