Use the Echelon Method 1. Solve x + 3y = 7 3x + 4y = 11
1 answer:
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Answer:
The drawings are in the picture attached and the explanations are below.
Question 1.
- Equation: w = 10 × 8 lb
- Solution: x = 80 lb
Question 2:
- Equation: d = 10×8 lb - 8 lb
- Solution: d = 72 lb
Explanation:
<u>Question 1:</u>
- Statement 1: Mary was born, she weighet 8 lbs
- Statement 2: When she was 10 years old weighed 10 times as much
w = 10 × 8 lbs = 80 lbs
<u>Explanation of the drawing:</u>
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Each cell represents 8 lbs, which was the weight when she was born. There are 10 cells, representing that the amount 8 lbs is repeated 10 times.
Then, the multiplication is represented an abbreviated sum:
- 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 10 × 8 = 80
<u>Question 2:</u>
- Statement: find the difference, d, between Mary's weight when she was 10 years old and when she was born.
d = 80 lbs - 8 lbs = 72 lbs
↑ ↑ ↑ ↑
difference 10 years old born solution
<u>Explanation of the drawing:</u>
- When you subtract one cell (8 lb) from ten cells (10 × 8 = 80 lb), you obtain nine cells ( 9 × 8 lb = 72 lb).
