wintersuntime one year ago Can someone be nice enough to help me with this problem please -> 3/4x+1/2=3/2

1. wintersuntime

x=4/3

2. anonymous

hint: multiply both sides by "4x"

3. wintersuntime

they are all fractions

4. wintersuntime

@sebaxtiangb

5. anonymous

right... thus multiplying them by 4x, removes the denominator and you'd end up with numerators

6. anonymous

$$\bf \cancel{4x}\cdot \cfrac{3}{\cancel{4x}}+\cancel{4} x\cdot \cfrac{1}{\cancel{2}}=\cancel{4}x\cdot \cfrac{3}{\cancel{2}}\implies ?$$

7. anonymous

Subtract 1/2 on both sides first.

8. anonymous

$$\bf \cancel{4x}\cdot \cfrac{3}{\cancel{4x}}+\cancel{4} x\cdot \cfrac{1}{\cancel{2}}=\cancel{4}x\cdot \cfrac{3}{\cancel{2}}\implies 3+2x\cdot 1=2x\cdot 3 \\ \quad \\ 3+2x=6x\implies ?$$

9. anonymous

|dw:1438733335459:dw| Then subtract the terms on the right sides. You can even simplify it.

10. anonymous

|dw:1438733426348:dw| Then multiply the reciprocal of 3/4 (which is 4/3) on both sides. That's it.

11. wintersuntime

@jdoe0001