Question

Which properties justify the steps taken to solve the system? {2a 7b=03a−5b=31 Drag the answers into the boxes to match each step.

Answer 1

The equations can be solved in the following manner. As shown below.

Given to us

• 10a + 35b = 0
• 21a - 35b = 217

Solution

The equations can be solved in the following manner. As shown below.

1.  Multiplication Property of Equality

10a + 35b = 0, 21a - 35b = 217            

2.  Addition Property of Equality

31a = 217

3.  Division Property of Equality

a = 7

4.  Substitution Property of Equality

2(7) +7b = 0

5.  Simplify

14 + 7b = 0

6.  Subtraction Property of Equality

7b=-14

7.Division Property of Equality

b= -2

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