Question Find the value of $x$ from $\{10.5,15.5,18.5\}$ that satisfies $x+1.4=19.9$ .

Studdy Solution

STEP 1

Assumptions
1. We have the set $\{10.5, 15.5, 18.5\}$ .
2. We are given the equation $x + 1.4 = 19.9$ .
3. We need to find which value of $x$ from the set makes the equation true.

STEP 2

We will use substitution to solve the equation for each value of $x$ in the set. The first value we will try is $x = 10.5$ .
$x + 1.4 = 19.9$

STEP 3

Substitute $x = 10.5$ into the equation.
$10.5 + 1.4 = 19.9$

STEP 4

Calculate the sum on the left side of the equation.
$12.0 \neq 19.9$
Since $12.0$ does not equal $19.9$ , $x = 10.5$ does not make the equation true.

STEP 5

Next, we will try the second value from the set, $x = 15.5$ .
$x + 1.4 = 19.9$

STEP 6

Substitute $x = 15.5$ into the equation.
$15.5 + 1.4 = 19.9$

STEP 7

Calculate the sum on the left side of the equation.
$16.9 \neq 19.9$
Since $16.9$ does not equal $19.9$ , $x = 15.5$ does not make the equation true.

STEP 8

Finally, we will try the third value from the set, $x = 18.5$ .
$x + 1.4 = 19.9$

STEP 9

Substitute $x = 18.5$ into the equation.
$18.5 + 1.4 = 19.9$

STEP 10

Calculate the sum on the left side of the equation.
$19.9 = 19.9$
Since $19.9$ equals $19.9$ , $x = 18.5$ makes the equation true.
The value of $x$ that makes the equation true is $18.5$ , which corresponds to option A.

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