Question

Solve 4/9x+7=1/2.

Solve 1/8x−12=3/4.

Answer 1

1. 4/9x+7=1/2
-7 -7

4/9x= -6.5
4x=-58.5 (now divide by 4)
x=-14.625



2. 1/8x-12=3/4
+12 +12

1/8x=12.75
x=102 (now divide by 1/8 to both sides)

Answer 2

`\# 1 \\\\ (4)/(9)x+7=(1)/(2) \\\\ (4x)/(9)=(1)/(2)-7^((2) \\\\ (4x)/(9)=(1-14)/(2) \\\\ (4x)/(9)=-(13)/(2) \\\\ 4x=-(9*13)/(2) \\\\ x=-((9*13)/(2))/(4) \\\\ x=-(117)/(2)*(1)/(4) \\\\ \boxed{x=-(117)/(8)=-14(5)/(8)}`


`\#2 \\\\ (1)/(8)x-12=(3)/(4) \\\\ (1)/(8)x=(3)/(4)+12^((4) \\\\ (x)/(8)=(3+48)/(4) \\\\ (x)/(8)=(51)/(4) \\\\ x=(\\ot8*51)/(\\ot4) \\\\ x=2*51 \\\\ \boxed{x=102}`