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Popular >

4a-3b=5,3a-4b=2

Solution

4 a - 3 b = 5, 3 a - 4 b = 2

Solution

a = 2, b = 1

Solution steps

[4 a - 3 b = 5 3 a - 4 b = 2]

Isolate

a

for

4 a - 3 b = 5 : a = \frac{5 + 3 b}{4}

Substitute

a = \frac{5 + 3 b}{4}

[3 \cdot \frac{5 + 3 b}{4} - 4 b = 2]

Simplify

[\frac{15 - 7 b}{4} = 2]

Isolate

b

for

\frac{15 - 7 b}{4} = 2 : b = 1

For

a = \frac{5 + 3 b}{4}

Substitute

b = 1

a = \frac{5 + 3 \cdot 1}{4}

\frac{5 + 3 \cdot 1}{4} = 2

a = 2

The solutions to the system of equations are:

a = 2, b = 1

Popular Examples

x + y = 40, x - 3 y = 20

7(y+3)-2(x+2)=14,4(y+2)+4(x+3)=44

7 (y + 3) - 2 (x + 2) = 14, 4 (y + 2) + 4 (x + 3) = 44

5x-12y=21,3x+5y=20

5 x - 12 y = 21, 3 x + 5 y = 20

x/3+y/4 =6,+x/6+y/2 =6

\frac{x}{3} + \frac{y}{4} = 6, + \frac{x}{6} + \frac{y}{2} = 6

2x+y=31,3y-x=23

2 x + y = 31, 3 y - x = 23

Frequently Asked Questions (FAQ)

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