I am working on a review worksheet and there are 2 problems I can't remember how to do. Each question has 6 other questions, so helping me with these will remind me how to do the others! Thank you!!

Question

1.2(x+5) = 1.6(2x+5)

and

Solve for y
a(y+c) = b(y-c)

Thank you again!

Jeffrey

Answer 1

These are just exercises using the distributive property. Clear parentheses to get started.

1.2(x+5) = 1.6(2x+5)
1.2x + 6.0 = 3.2x + 8.0
2.0x = -2.0
x = -1.0
Or, if you dislike decimals, multiply by 5 to start with:
6(x+5) = 8(2x+5)
6x+30 = 16x+40
10x = -10
x = -1

a(y+c) = b(y-c)
ay+ac = by-bc
ay-by = -bc-ac
y(a-b) = -c(b+a)
y = -c(b+a)/(a-b)
or, y = c * (b+a)/(b-a)

Answer 2

Got it!

Thank you Steve!