SOLUTION: I am trying to solve the below problem but I have question.
-7(5y – 2) > 6(6y-1)
I first multiplied
-35y- -14> 36y-6
Then added 6 to both sides
-35y- -14+6>36y -6+6
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Question 349087: I am trying to solve the below problem but I have question.
-7(5y – 2) > 6(6y-1)
I first multiplied
-35y- -14> 36y-6
Then added 6 to both sides
-35y- -14+6>36y -6+6
-35y- -8>36y
I am confused, I am not sure if the next step is correct.
Found 2 solutions by ankor@dixie-net.com, Theo:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
I am trying to solve the below problem but I have question.
-7(5y – 2) > 6(6y-1)
I first multiplied
-35y- -14> 36y-6
Now this should be
-35y + 14 > 36y - 6
Then added 6 to both sides
-35y + 14 + 6 > 36y
-35y + 20 > 36y
Subtract 20 from both sides
-35y - 36y > -20
-71y > -20
y has to be positive, multiply both sides by -1, this reverses the inequality sign
71y < 20
y = <
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
I will solve it for you and then you can see where you went wrong.
problem is:
-7(5y – 2) > 6(6y-1) which can also be written as:
-7*(5*y – 2) > 6*(6*y-1).
The * indicates multiplication and can make things clearer if there is any ambiguity in how the formula is shown.
remove parentheses to get:
-35*y + 14 > 36*y - 6
add 6 to both sides of the equation to get:
-35*y + 20 > 36*y
add 35*y to both sides of the equation to get:
20 > 36*h + 35*y
combine like terms to get:
20 > 71*y
divide both sides of the equation by 71 to get:
20/71 > y
if 20/71 > y, then:
y < 20/71
that should be your answer.
you confirm by substituting in the original equation to see if the equation is true.
take 3 values for y.
pick values that are easy to calculate wherever possible.
take y = 0 which is smaller than 20/71
take y = 20/71 which is equal to 20/71
take y = 1 which is greater than 20/71
if y is smaller than 20/71, the original equation should be true.
if y is greater than or equal to 20/71, the original equation should be false.
the original equation is:
-7(5y – 2) > 6(6y-1)
substitute 0 for y to get:
14 > -6 which is true.
substitute 1 for y to get:
-21 > 30 which is false.
substitute 20/71 for y to get:
4.14084507 > 4.14084507 which is false.
confirmation of y < 20/71 is good since:
when y < 20/71, the original equation is true.
when y >= 20/71, the original equation is false.
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