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Popular >

4a-5b=-23,2a+b=-1

Solution

4 a - 5 b = - 23, 2 a + b = - 1

Solution

a = - 2, b = 3

Solution steps

[4 a - 5 b = - 23 2 a + b = - 1]

Isolate

a

for

4 a - 5 b = - 23 : a = \frac{- 23 + 5 b}{4}

Substitute

a = \frac{- 23 + 5 b}{4}

[2 \cdot \frac{- 23 + 5 b}{4} + b = - 1]

Simplify

[\frac{- 23 + 7 b}{2} = - 1]

Isolate

b

for

\frac{- 23 + 7 b}{2} = - 1 : b = 3

For

a = \frac{- 23 + 5 b}{4}

Substitute

b = 3

a = \frac{- 23 + 5 \cdot 3}{4}

\frac{- 23 + 5 \cdot 3}{4} = - 2

a = - 2

The solutions to the system of equations are:

a = - 2, b = 3

Popular Examples

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

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

a + b = 3, a = 5 b

5x+y=1,4-5x+5y=10

5 x + y = 1, 4 - 5 x + 5 y = 10

x-y=-1,3x-2y=12

x - y = - 1, 3 x - 2 y = 12

x+y=21,3x+7y=107

x + y = 21, 3 x + 7 y = 107

Frequently Asked Questions (FAQ)

What is 4a-5b=-23,2a+b=-1 ?
The solution to 4a-5b=-23,2a+b=-1 is a=-2,b=3