Answer:
x = 137
Step-by-step explanation:
To find the value of x you must first set up an equation to solve for x. We are told that Hannah has written 142 more lines than Sam so we can make an equation by subtracting Sam's total from Hannah's total.
(7x + 78) - (6x + 73) = 142
Hannah - Sam = Difference
We then begin to solve. First we must distribute the subtraction to all parts of Sam's equation, creating a new equation of:
7x + 78 - 6x - 73 = 142
Then put like terms together
7x - 6x + 78 - 73 = 142
7x - 6x = x
78-73 = 5
x + 5 = 142
Then isolate the x by subtracting the 5.
x + 5 (-5)= 142 (-5)
x = 137
Then plug it back into the equation to check and see if your x is correct
(7x + 78) - (6x + 73) = 142
(7(137) + 78) - (6(137) + 73) = 142
(959 + 78) - (822 + 73) = 142
(1037) - (895) = 142
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