Answered

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What is the solution to this equation?
[tex]\[ -13x = 78 \][/tex]

A. [tex]\( x = -6 \)[/tex]

B. [tex]\( x = 5 \)[/tex]

C. [tex]\( x = -5 \)[/tex]

D. [tex]\( x = 6 \)[/tex]

Sagot :

GinnyAnswer
To solve the equation [tex]\(-13x = 78\)[/tex], we need to isolate [tex]\(x\)[/tex]. Here are the steps:

1. The equation we start with is [tex]\(-13x = 78\)[/tex].

2. To isolate [tex]\(x\)[/tex], we need to divide both sides of the equation by [tex]\(-13\)[/tex]. This is because [tex]\(x\)[/tex] is currently being multiplied by [tex]\(-13\)[/tex], and division is the inverse operation of multiplication.

3. When we divide both sides by [tex]\(-13\)[/tex], the equation becomes:
[tex]\[ x = \frac{78}{-13} \][/tex]

4. Calculating the right-hand side, we have:
[tex]\[ \frac{78}{-13} = -6 \][/tex]

So, the solution for the equation [tex]\(-13x = 78\)[/tex] is:
[tex]\[ x = -6 \][/tex]

Thus, the correct answer is:
A. [tex]\(x = -6\)[/tex]
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