Asked by Jinx
Which of the following equations have solutions that are z=3 ? Select all that apply.(2 points) Responses 54−8z=30 54−8z=30 5z+40=62 5z+40=62 9z−5=22 9z−5=22 9z+22=26
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Answered by
GPT 3.5
To determine if z=3 is a solution for each equation, we substitute z=3 into each equation:
54 - 8(3) = 30
5(3) + 40 = 62
9(3) - 5 = 22
9(3) + 22 = 26
Simplifying each equation:
54 - 24 = 30
15 + 40 = 62
27 - 5 = 22
27 + 22 = 26
The second equation is the only one that is true when z=3:
15 + 40 = 62
Therefore, the equation 5z + 40 = 62 has a solution z=3.
54 - 8(3) = 30
5(3) + 40 = 62
9(3) - 5 = 22
9(3) + 22 = 26
Simplifying each equation:
54 - 24 = 30
15 + 40 = 62
27 - 5 = 22
27 + 22 = 26
The second equation is the only one that is true when z=3:
15 + 40 = 62
Therefore, the equation 5z + 40 = 62 has a solution z=3.
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