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Define x:
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Let her regular hourly pay be x.
Overtime pay = x + 7
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Construct equation:
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6x + 4(x+ 7) = 148
6x + 4x + 28 = 148
10x = 148 - 28
10x = 120
x = 12
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Find Regular Pay
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Regular Pay = x = $12
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Answer: Her regular pay is $12 an hour.
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Given:
The system of equations:
To find:
The number that can be multiplied by the second equation to eliminate the x-variable when the equations are added together.
Solution:
We have,
...(i)
...(ii)
The coefficient of x in (i) and (ii) are 1 and 
respectively.
To eliminate the variable x by adding the equations, we need the coefficients of x as the additive inverse of each other, i.e, a and -a So, a+(-a)=0.
It means, we have to convert into -1. It is possible if we multiply the equation (ii) by -5.
On multiplying equation (ii) by -5, we get
...(iii)
On adding (i) and (iii), we get
Here, x is eliminated.
Therefore, the number -5 can be multiplied by the second equation to eliminate the x-variable.
Angle 1, 4, and 8 are all congruent to angle 5. The last choice would be correct.
