Math

Question
19. (1 point) For the equation 2x+3=132x + 3 = 13, which operation should you undo first?
20. (2 points) Solve the equation y17=82y - 17 = 82. (SHOW YOUR WORK)

Studdy Solution

STEP 1

Assumptions
1. For the equation 2x+3=132x + 3 = 13, we need to identify the first operation to undo in order to solve for xx.
2. For the equation y17=82y - 17 = 82, we need to solve for yy by performing the necessary algebraic operations.

STEP 2

The equation 2x+3=132x + 3 = 13 is a linear equation in one variable. To solve for xx, we need to isolate xx on one side of the equation. According to the order of operations (PEMDAS/BODMAS), we should first undo addition or subtraction before multiplication or division.

STEP 3

In the equation 2x+3=132x + 3 = 13, the addition of 3 is the operation that should be undone first to isolate the term containing xx.

STEP 4

The correct answer to question 19 is: c. addition

STEP 5

Now, let's solve the equation y17=82y - 17 = 82. The goal is to isolate yy on one side of the equation.

STEP 6

To isolate yy, we need to undo the subtraction of 17 from yy. We do this by adding 17 to both sides of the equation.
y17+17=82+17y - 17 + 17 = 82 + 17

STEP 7

Simplify both sides of the equation.
y=82+17y = 82 + 17

STEP 8

Calculate the sum on the right side of the equation.
y=99y = 99

STEP 9

We have found the value of yy.
The solution to question 20 is: y=99y = 99

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