What is 10a+2b=4,15a-5b=-2 ?

The solution to 10a+2b=4,15a-5b=-2 is a= 1/5 ,b=1

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10a+2b=4,15a-5b=-2

10 a + 2 b = 4, 15 a - 5 b = - 2

a = \frac{1}{5}, b = 1

Solution steps

[10 a + 2 b = 4 15 a - 5 b = - 2]

Isolate

a

for

10 a + 2 b = 4 : a = \frac{2 - b}{5}

Substitute

a = \frac{2 - b}{5}

[15 \cdot \frac{2 - b}{5} - 5 b = - 2]

Simplify

[- 8 b + 6 = - 2]

Isolate

b

for

- 8 b + 6 = - 2 : b = 1

For

a = \frac{2 - b}{5}

Substitute

b = 1

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

Simplify

a = \frac{1}{5}

The solutions to the system of equations are:

a = \frac{1}{5}, b = 1

b = - 3, a = 2, c = 3

x + 812 x - 4 y = - 32, y = 3

4 x + 5 y = 52, 3 x + 10 y = 64

3 x + 2 y = 10, 12 x + 8 y = 30

a + b = 20, a = 30