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Popular >

5a+2v=32,6a+6v=42

Solution

5 a + 2 v = 32, 6 a + 6 v = 42

Solution

a = 6, v = 1

Solution steps

[5 a + 2 v = 32 6 a + 6 v = 42]

Isolate

a

for

5 a + 2 v = 32 : a = \frac{32 - 2 v}{5}

Substitute

a = \frac{32 - 2 v}{5}

[6 \cdot \frac{32 - 2 v}{5} + 6 v = 42]

Simplify

[\frac{192 + 18 v}{5} = 42]

Isolate

v

for

\frac{192 + 18 v}{5} = 42 : v = 1

For

a = \frac{32 - 2 v}{5}

Substitute

v = 1

a = \frac{32 - 2 \cdot 1}{5}

\frac{32 - 2 \cdot 1}{5} = 6

a = 6

The solutions to the system of equations are:

a = 6, v = 1

Popular Examples

5x+y=8,2x+3y=11

5 x + y = 8, 2 x + 3 y = 11

4m-2n=-6,4m+3n=16

4 m - 2 n = - 6, 4 m + 3 n = 16

x+y+2z=9,x+y+z=2,x+2y+z=5

x + y + 2 z = 9, x + y + z = 2, x + 2 y + z = 5

3x+4y=11,5x-3y=-1

3 x + 4 y = 11, 5 x - 3 y = - 1

a + c = 5 c, a = 3

Frequently Asked Questions (FAQ)

What is 5a+2v=32,6a+6v=42 ?
The solution to 5a+2v=32,6a+6v=42 is a=6,v=1