Question

1/4(3c+5)-1/2(2c+3)=1/2

Please show some work so I can fiqure it out.

Answer 1

1/4(3c+5)-1/2(2c+3)=1/23/4c+1u1/4-1c-1u1/2=1/2
3/4c-1c=-1/4c
1u1/4-1u1/2=-1/4
-1/4c-1/4=1/2
+1/4 +1/4
-1/4c=3/4
/-1/4 /-1/4
answer: -3

Answer 2

So,

1/4(3c + 5) + -1/2(2c + 3) = 1/2

First, we distribute to get rid of the parentheses. (PEMDAS)
3/4c + 1 1/4 - c - 1 1/2 = 1/2

Now, we collect like terms.
-1/4c - 1/4 = 1/2

Add 1/4 to both sides.
-1/4c = 3/4

Now, multiply by the reciprocal (-4/1).
c = -3

Check your answer.

1/4(3[-3] + 5) + -1/2(2[-3] + 3) = 1/2

1/4(-9 + 5) + -1/2(-6 + 3) = 1/2

-2 1/4 + 1 1/4 + 3 - 1 1/2 = 1/2

-1 + 1 1/12 = 1/2

1/2 = 1/2