Studdy AI Logo
Math  /  Algebra

Question11/11 Solve One-Step Equations Exit Ticket
1 Multiple Choice 25 points Which equation is true when t=19\mathrm{t}=19 ? 14.5=t+4.514.5=t+4.5 −13+t=32-13+t=32 t19=−1\frac{t}{19}=-1 −57=−3t-57=-3 t Clear my selection

Studdy Solution

STEP 1

1. We are given four equations and need to determine which one is true when t=19 t = 19 .
2. Each equation involves basic algebraic operations.
3. We will substitute t=19 t = 19 into each equation to verify its truth.

STEP 2

1. Substitute t=19 t = 19 into each equation.
2. Simplify each equation to check if both sides are equal.
3. Identify the equation that holds true.

STEP 3

Substitute t=19 t = 19 into the first equation:
14.5=t+4.5 14.5 = t + 4.5
14.5=19+4.5 14.5 = 19 + 4.5

STEP 4

Simplify the right-hand side:
14.5=23.5 14.5 = 23.5
This equation is not true.

STEP 5

Substitute t=19 t = 19 into the second equation:
−13+t=32 -13 + t = 32
−13+19=32 -13 + 19 = 32

STEP 6

Simplify the left-hand side:
6=32 6 = 32
This equation is not true.

STEP 7

Substitute t=19 t = 19 into the third equation:
t19=−1 \frac{t}{19} = -1
1919=−1 \frac{19}{19} = -1

STEP 8

Simplify the left-hand side:
1=−1 1 = -1
This equation is not true.

STEP 9

Substitute t=19 t = 19 into the fourth equation:
−57=−3t -57 = -3t
−57=−3(19) -57 = -3(19)

STEP 10

Simplify the right-hand side:
−57=−57 -57 = -57
This equation is true.

STEP 11

The equation that is true when t=19 t = 19 is:
−57=−3t \boxed{-57 = -3t}

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord