2 more than a certain number is 15 less than the product of 7/8 and the number
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Answer:
Solution is N = -136
Step-by-step explanation:
2+N= .875n-15
2=-.125n-15
17=-.125n
17/-.125=-136
2+(-136)=.875(-.125)-15
-134 = -134
Equations are used to show the relationship between expressions and numbers. The number that fits the given scenario is -136.
Let the number be x.
2 more than x is represented as [tex]2 + x[/tex]
15 less than the product of [tex]\frac 78[/tex] and x is represented as: [tex]\frac 78x - 15[/tex]
So, the equation is:
[tex]2 + x = \frac 78x - 15[/tex]
The solution is as follows:
Collect like terms
[tex]x -\frac 78x= - 15-2[/tex]
[tex]x -\frac 78x= - 17[/tex]
Take LCM
[tex]\frac{8-7}{8}x= - 17[/tex]
[tex]\frac{1}{8}x= - 17[/tex]
Multiply through by 8
[tex]8 \times \frac{1}{8}x= - 17 \times 8[/tex]
[tex]x= - 136[/tex]
Hence, the number is -136.
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