anonymous
  • anonymous
Two equations are shown: Equation 1: 3 4 (x−12)=12 Equation 2: 3 4 y−12=12 Solve each equation. Then, enter a number in each box to make this statement true. please help
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
please help
anonymous
  • anonymous
@Vocaloid please help
mathstudent55
  • mathstudent55
Do you mean \(\dfrac{3}{4}(x - 12) = 12\) ?

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anonymous
  • anonymous
yes
mathstudent55
  • mathstudent55
Then the first thing you need to do is to get rid of the 3/4 from the left side. To do that, multiply both sides by 4/3
anonymous
  • anonymous
do i multiply 4/3
mathstudent55
  • mathstudent55
\(\dfrac{4}{3} \times \dfrac{3}{4}(x - 12) = \dfrac{4}{3} \times 12\)
mathstudent55
  • mathstudent55
\(\dfrac{\cancel{4}}{\cancel{3}} \times \dfrac{\cancel{3}}{\cancel{4}}(x - 12) = 16\)
mathstudent55
  • mathstudent55
Now you have simply: \(x - 12 = 16\)
anonymous
  • anonymous
what is the value of X
mathstudent55
  • mathstudent55
Now what do you need to do to get rid of the -12 on the left side?
mathstudent55
  • mathstudent55
Since 12 is being subtracted from x, you do the opposite operation, which is add 12. You must do the same operation to both sides of an equation, so you add 12 to both sides.
mathstudent55
  • mathstudent55
\(x - 12+12 = 16+12\) \(x = 28\)
anonymous
  • anonymous
that mean the value of X =28
mathstudent55
  • mathstudent55
Yes.
mathstudent55
  • mathstudent55
For the second equation, you have y instead of x, but also no parentheses, right?
anonymous
  • anonymous
then what is the value of Y
mathstudent55
  • mathstudent55
Is this the second equation? \(\dfrac{3}{4}y - 12 = 12\)
anonymous
  • anonymous
y = 12
mathstudent55
  • mathstudent55
Are you sure?
anonymous
  • anonymous
no
anonymous
  • anonymous
i think it is cuz u have to divide
mathstudent55
  • mathstudent55
Let's do it. Did I write the second equation correctly? Is the second equation like the first equation except you have y instead of x and no parentheses?
anonymous
  • anonymous
yes
mathstudent55
  • mathstudent55
\(\dfrac{3}{4}y - 12 = 12\) First, we need to get rid of the -12, so we add 12 to both sides. \(\dfrac{3}{4}y - 12 + 12 = 12 + 12\) \(\dfrac{3}{4}y = 24\) Do you follow so far?
anonymous
  • anonymous
yes
anonymous
  • anonymous
srry took a 5 min nap
mathstudent55
  • mathstudent55
Now we need to get rid of the 3/4 multiplying x, so we divide both sides by 3/4. Dividing by a fraction is the same as multiplying by its reciprocal. We now multiply both sides by 4/3, the reciprocal of 3/4.
anonymous
  • anonymous
multiply 4/3
mathstudent55
  • mathstudent55
\(\dfrac{\cancel{4}}{\cancel{3}} \times \dfrac{\cancel{3}}{\cancel{4}}y = \dfrac{4}{3} \times 24\) \(y = 32\)
mathstudent55
  • mathstudent55
As you can see, having or not having the parentheses in the original equation makes a difference in the answers.
anonymous
  • anonymous
thanks alot
mathstudent55
  • mathstudent55
You're welcome.
anonymous
  • anonymous
i have one more
anonymous
  • anonymous
can you help?

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