Patty paints 3 houses each month. if y represents the number of houses Patty paints and x represents the number of months she takes, write an equation to model the relationship
between them.

y = (3 houses/month) x

Step-by-step explanation:

Let "x" represent the number of months Patty paints houses and "y" represent the number of houses Patty paints. We can represent the relationship between "x" and "y" using a linear equation, which has the following general expression.

y = m x

where "m" is the slope. In this case, the slope represents the number of houses Patty paints per month, that is, m = 3 houses per month.

The final linear equation is:

y = (3 houses/month) x

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: