Question

Teri incorrectly solved the system of equations below. Correctly identify the error Teri made. 2x - 10 y = -30 x - 5y = 20 Step 1: x - 5y = 20 x = 5y + 20 Step 2: 2(5y + 20) - 10 y = -30 10y + 40 - 10y = -30 40 = -30

Answer 1

See explanations below

Explanation:

Given the system of equation

2x - 10 y = -30 ... 1

x - 5y = 20 ... 2

Step: From 2;

x = 20 + 5y ...3

Step 2: Substitute equation 3 into 1

2x - 10y = -30

2(5y+20) - 10y = -30

Open the bracket

10y + 40 - 10y = -30

10y - 10y + 40 = -30

0+40 = -30

40 = -30

The steps taken by Teri are correct all through. He didn't make any error whatsoever