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Given:
[tex]\[ TV = 3x - 24 \][/tex]
and
[tex]\[ VX = 2x + 1 \][/tex]

What is the value of [tex]\( VX \)[/tex]?

Sagot :

GinnyAnswer
To determine the value of [tex]\(VX\)[/tex], we need to follow these steps:

1. First, solve the equation [tex]\(TV = 3x - 24\)[/tex] for [tex]\(x\)[/tex].
2. Once we find the value of [tex]\(x\)[/tex], substitute this value into the equation [tex]\(VX = 2x + 1\)[/tex] to determine [tex]\(VX\)[/tex].

Let's begin with solving the first equation for [tex]\(x\)[/tex]:

[tex]\[ TV = 3x - 24 \][/tex]

To solve for [tex]\(x\)[/tex], we'll set [tex]\(TV\)[/tex] equal to zero and solve for [tex]\(x\)[/tex]:

[tex]\[ 0 = 3x - 24 \][/tex]

We simplify by isolating [tex]\(x\)[/tex]:

[tex]\[ 3x = 24 \][/tex]

[tex]\[ x = \frac{24}{3} \][/tex]

[tex]\[ x = 8 \][/tex]

Now that we have [tex]\(x = 8\)[/tex], we can substitute this value into the equation for [tex]\(VX\)[/tex]:

[tex]\[ VX = 2x + 1 \][/tex]

Substitute [tex]\(x = 8\)[/tex] into the equation:

[tex]\[ VX = 2(8) + 1 \][/tex]

[tex]\[ VX = 16 + 1 \][/tex]

[tex]\[ VX = 17 \][/tex]

Therefore, the value of [tex]\(VX\)[/tex] is [tex]\(17\)[/tex].
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