Q76. - Algebra 1

Question

REASONING Determine the value for each statement below.

a. If $x-7=14$, what is the value of $x-2$?

b. If $t+8=-12$, what is the value of $t+1$?

Step-by-Step Solution

Answer

1. The value of $x-2$ is 19.
2. The value of $t+1$ is $-19$.

Part a. Step 1. Write the given information.

The given equation is: $x-7=14$

Part a. Step 2. Calculation.

Consider the given equation,

$\begin{array}{l}x-7=14\\ x=14+7\\ x=21\end{array}$

Part a. Step 3. Computing the value of required expression.

Substitute $x=21$ in $x-2$, we get

$21-2=19$

So, The value of $x-2$ is 19.

Part b. Step 1. Write the given information.

The given equation is: $t+8=-12$

Part b. Step 2. Calculation.

Consider the given equation,

$\begin{array}{l}t+8=-12\\ t=-12-8\\ t=-20\end{array}$

Part b. Step 3. Computing the value of required expression.

Substitute $t=-20$ in $t+1$, we get

$-20+1=-19$

So, the value of $t+1$ is $-19$.