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QuestionIdentify equivalent equations to 15=t−u15=t-u from the options: 20=t−u+520=t-u+5, 17=2+t−u17=2+t-u, 18=t−u+318=t-u+3, 19=t−u+419=t-u+4.

Studdy Solution

STEP 1

Assumptions1. We are given the equation 15=t−u15 = t - u . We are asked to find all equations equivalent to the given equation3. An equivalent equation is one that has the same solution set as the given equation

STEP 2

First, let's simplify the given equation.
15=t−u15 = t - u

STEP 3

Now, let's compare the given equation with the first equation 20=t−u+520 = t - u +5.

STEP 4

To make the first equation equivalent to the given equation, we need to subtract from both sides of the equation.
20−=t−u+−20 - = t - u + -

STEP 5

implify the equation.
15=t−u15 = t - u

STEP 6

Now, let's compare the given equation with the second equation 17=2+t−u17 =2 + t - u.

STEP 7

To make the second equation equivalent to the given equation, we need to subtract2 from both sides of the equation.
17−2=2−2+t−u17 -2 =2 -2 + t - u

STEP 8

implify the equation.
15=t−u15 = t - u

STEP 9

Now, let's compare the given equation with the third equation 18=t−u+318 = t - u +3.

STEP 10

To make the third equation equivalent to the given equation, we need to subtract3 from both sides of the equation.
18−3=t−u+3−318 -3 = t - u +3 -3

STEP 11

implify the equation.
15=t−u15 = t - u

STEP 12

Now, let's compare the given equation with the fourth equation 19=t−u+419 = t - u +4.

STEP 13

To make the fourth equation equivalent to the given equation, we need to subtract from both sides of the equation.
19−=t−u+−19 - = t - u + -

STEP 14

implify the equation.
=t−u = t - u

STEP 15

Now, we have found that all the equations are equivalent to the given equation 15=t−u15 = t - u after applying the appropriate operations.
So, the equivalent equations to 15=t−u15 = t - u are 20=t−u+520 = t - u +5, 17=2+t−u17 =2 + t - u, 18=t−u+318 = t - u +3, and 19=t−u+419 = t - u +4.

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