Question

Which properties justify the steps taken to solve the system?

{2a+7b=0
{3a-5b=31

Drag the answers into the boxes to match each step.
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Answer 1

Answer:

Step-by-step explanation:

The given equations are:

2a+7b=0 and 3a-5b=31

Statement                                                                    Reason

1. 10a+35b=0, 21a-35b=217    (Multiply first equation by 5 and second by 7)

2. 31a=217                                (Adding both the equations)

3. a=7                                       (Dividing both sides by 31)

4. 2(7)+7b=0                            (Substituting a=7 in first equation)

5.14+7b=0                                (solving step 4)

6. 7b=-14                                  (Subtracting 14 on both sides)