## anonymous one year ago 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

1. anonymous

2. anonymous

3. mathstudent55

Do you mean $$\dfrac{3}{4}(x - 12) = 12$$ ?

4. anonymous

yes

5. 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

6. anonymous

do i multiply 4/3

7. mathstudent55

$$\dfrac{4}{3} \times \dfrac{3}{4}(x - 12) = \dfrac{4}{3} \times 12$$

8. mathstudent55

$$\dfrac{\cancel{4}}{\cancel{3}} \times \dfrac{\cancel{3}}{\cancel{4}}(x - 12) = 16$$

9. mathstudent55

Now you have simply: $$x - 12 = 16$$

10. anonymous

what is the value of X

11. mathstudent55

Now what do you need to do to get rid of the -12 on the left side?

12. 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.

13. mathstudent55

$$x - 12+12 = 16+12$$ $$x = 28$$

14. anonymous

that mean the value of X =28

15. mathstudent55

Yes.

16. mathstudent55

For the second equation, you have y instead of x, but also no parentheses, right?

17. anonymous

then what is the value of Y

18. mathstudent55

Is this the second equation? $$\dfrac{3}{4}y - 12 = 12$$

19. anonymous

y = 12

20. mathstudent55

Are you sure?

21. anonymous

no

22. anonymous

i think it is cuz u have to divide

23. 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?

24. anonymous

yes

25. 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?

26. anonymous

yes

27. anonymous

srry took a 5 min nap

28. 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.

29. anonymous

multiply 4/3

30. mathstudent55

$$\dfrac{\cancel{4}}{\cancel{3}} \times \dfrac{\cancel{3}}{\cancel{4}}y = \dfrac{4}{3} \times 24$$ $$y = 32$$

31. mathstudent55

As you can see, having or not having the parentheses in the original equation makes a difference in the answers.

32. anonymous

thanks alot

33. mathstudent55

You're welcome.

34. anonymous

i have one more

35. anonymous

can you help?