Question

-x - 5y = -13 y = 7x - 19
Using substitution

Answer 1

x = 3

y = 2

Explanation:

Step 1: Define

-x - 5y = -13

y = 7x - 19

Step 2: Substitute and solve for x

1. Substitute: -x - 5(7x - 19) = -13
2. Distribute -5: -x - 35x + 95 = -13
3. Combine like terms: -36x + 95 = -13
4. Subtract 95 on both sides: -36x = -108
5. Divide both sides by -36: x = 3

Step 3: Substitute x to find y

1. Substitute: y = 7(3) - 19
2. Multiply: y = 21 - 19
3. Subtract: y = 2

Step 4: Check

Plug in x and y to verify it's a solution set.

2 = 7(3) - 19

2 = 21 - 19

2 = 2