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Verona is solving the equation [tex]\(-3 + 4x = 9\)[/tex]. To isolate the variable term using the addition property of equality, which number should she add to both sides of the equation?

A. [tex]\(-4\)[/tex]
B. 3
C. [tex]\(-3\)[/tex]
D. 4

Sagot :

GinnyAnswer
To solve the equation [tex]\(-3 + 4x = 9\)[/tex], Verona needs to isolate the variable term [tex]\(4x\)[/tex]. Here's a step-by-step approach on how to achieve that:

1. Understand the goal: Isolate [tex]\(4x\)[/tex] on one side of the equation.

2. Identify the constant term: The constant term on the left side of the equation is [tex]\(-3\)[/tex].

3. Eliminate the constant term: To move [tex]\(-3\)[/tex] to the other side of the equation, we need to add its opposite. The opposite of [tex]\(-3\)[/tex] is [tex]\(3\)[/tex].

4. Apply the addition: We add [tex]\(3\)[/tex] to both sides of the equation to maintain the balance.

[tex]\[ -3 + 3 + 4x = 9 + 3 \][/tex]

5. Simplify the new equation: The left side simplifies as follows:

[tex]\[ (-3 + 3) + 4x = 12 \][/tex]

Since [tex]\(-3 + 3 = 0\)[/tex], we get:

[tex]\[ 4x = 12 \][/tex]

Thus, the number that Verona should add to both sides of the equation in order to isolate the variable term using the addition property of equality is [tex]\(3\)[/tex].
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