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Popular >

5a-6b=9,4a-6b=6

Solution

5 a - 6 b = 9, 4 a - 6 b = 6

Solution

a = 3, b = 1

Solution steps

[5 a - 6 b = 9 4 a - 6 b = 6]

Isolate

a

for

5 a - 6 b = 9 : a = \frac{9 + 6 b}{5}

Substitute

a = \frac{9 + 6 b}{5}

[4 \cdot \frac{9 + 6 b}{5} - 6 b = 6]

Simplify

[\frac{36 - 6 b}{5} = 6]

Isolate

b

for

\frac{36 - 6 b}{5} = 6 : b = 1

For

a = \frac{9 + 6 b}{5}

Substitute

b = 1

a = \frac{9 + 6 \cdot 1}{5}

\frac{9 + 6 \cdot 1}{5} = 3

a = 3

The solutions to the system of equations are:

a = 3, b = 1

Popular Examples

2x+3y-17=0,x-2y+9=0

2 x + 3 y - 17 = 0, x - 2 y + 9 = 0

3x+4y=17,4x-3y=6

3 x + 4 y = 17, 4 x - 3 y = 6

1/2 x+1/3 y=2, 1/3 x+1/2 y= 13/6

\frac{1}{2} x + \frac{1}{3} y = 2, \frac{1}{3} x + \frac{1}{2} y = \frac{13}{6}

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

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

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

Frequently Asked Questions (FAQ)

What is 5a-6b=9,4a-6b=6 ?
The solution to 5a-6b=9,4a-6b=6 is a=3,b=1