how do you solve for all of the variables using system of equations

Question

2a-3b=-5, 4a+3b=17, 5c-2a=1

Answer 1

2a - 3b = -5

4a + 3b = 17

-2a + 5c = 1

1.) Add Equations 1 and 2 to find the value of a using the elimination method.

2a - 3b = -5

4a + 3b = 17

6a = 12

a = 2

2.) Substitute a = 2 in one of the two original equations to find the value of b.

2(2) - 3b = -5

4 - 3b = -5

-3b = -9

b = 3

3.) Substitute a = 2 in the third equation to find the value of c.

-2(2) + 5c = 1

-4 + 5c = 1

5c = 5

c = 1

The solution is (2, 3, 1).

Answer 2

One posting of a problem is sufficient.