Question

The cards in the diagram show the steps to solve the literal equation 12c + 2d = 489for d. The Think cards show the steps in words. The Write cards show the stepswith numbers. Match the Think Cards with the Write Cards. Then write them in thecorrect order to solve the problem.ThinkWriteSubtract 12c from each side.2d = 489 - 1212c + 2d - 12c = 489 - 120Use Division Property of Equalityto solve for d.Write the original equation| 20 를489 - 1202.Simplify.d = 245 - 60Divide each term by 2 to simplify.126 + 2d = 48gThinkWriteStep 1First,Write the original equation.Second,Step 2Next,Step 32d = 48g - 120Step 4Then,Use the Division Property ofEquality to solve for d.Finally,Step 5d = 24g - 6c

Answer 1

This is a step by step process to solve an equation

to do this, we'll just follow the cards accordingly

the equation given

12c + 2d = 48g

step 1

write the original equation = 12c + 2d = 48g

step 2

use subtraction property of equality to solve for d

to do this, we need to take 12c to the right hand side of the equation

simply subtract 12c from both sides of the equation

12c + 2d - 12c = 48g - 12c

step 3

write the original equation

to do this, just eliminate 12c from left hand side and you'd be left with 2d = 48g - 12c

step 4

use division property of equality to solve for d

this can be done by simply dividing both sides by 2

2d/2 = (48g - 12c)/2

`\begin{gathered} (2d)/(2)=(48g-12c)/(2) \\ d=(48g)/(2)-(12c)/(2) \\ d=24g-6c \end{gathered}`