Exercise 70 Page 362

Practice makes perfect

We are asked to solve the given equation for y. Let's start by using the Distributive Property to simplify the left-hand side of the equation.

3(2x-1)+2y=5x

Distribute 3

3(2x)-3(1)+2y=5x

6x-3+2y=5x

Now we can continue to solve by applying inverse operations on the equation using the Properties of Equality. Remember, only like terms can be combined.

6x-3+2y=5x

LHS+3=RHS+3

6x+2y=5x+3

LHS-6x=RHS-6x

2y=- x+3

.LHS /2.=.RHS /2.

y=- x+3/2

We want to solve the given equation for x. Let's apply inverse operations on the equation using the Properties of Equality!

600x+200y=500x

LHS-500x=RHS-500x

100x+200y=0

LHS-200y=RHS-200y

100x=- 200y

.LHS /100.=.RHS /100.

x=- 200 y/100

Put minus sign in front of fraction

x=- 200 y/100

a* b/c=a/c* b

x=- 200/100 y

Calculate quotient

x=- 2 y

Hints