Answered

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Find the value of [tex]$y[tex]$[/tex] that makes the equation [tex]$[/tex]y=\frac{2}{3}x-4[tex]$[/tex] true when [tex]$[/tex]x=9$[/tex].

A) 2
B) 4
C) 6
D) 10

Sagot :

GinnyAnswer
To find the value of \(y\) that satisfies the equation \( y = \frac{2}{3} x - 4 \) when \( x = 9 \), follow these steps:

1. Substitute \( x = 9 \) into the equation \( y = \frac{2}{3} x - 4 \).

[tex]\[ y = \frac{2}{3} (9) - 4 \][/tex]

2. Multiply \( \frac{2}{3} \) by 9.

[tex]\[ \frac{2}{3} \times 9 = 6 \][/tex]

3. Subtract 4 from the result obtained in the previous step.

[tex]\[ 6 - 4 = 2 \][/tex]

Thus, the value of \( y \) that makes the equation \( y = \frac{2}{3} x - 4 \) true when \( x = 9 \) is \( y = 2 \).

Therefore, the correct answer is:

A) 2
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