Answered

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Find the value of [tex]$y[tex]$[/tex] that makes the equation [tex]$[/tex]y = -2x + 4[tex]$[/tex] true when [tex]$[/tex]x = 1$[/tex].

A) -6
B) -2
C) 2
D) 6

Sagot :

GinnyAnswer
To find the value of \( y \) that makes the equation \( y = -2x + 4 \) true when \( x = 1 \), we will substitute \( x = 1 \) into the equation and solve for \( y \). Here are the steps in detail:

1. Start with the given equation:
[tex]\[ y = -2x + 4 \][/tex]

2. Substitute \( x = 1 \) into the equation:
[tex]\[ y = -2(1) + 4 \][/tex]

3. Perform the multiplication first:
[tex]\[ y = -2 \cdot 1 + 4 \][/tex]
[tex]\[ y = -2 + 4 \][/tex]

4. Then, perform the addition:
[tex]\[ y = 2 \][/tex]

So, the value of \( y \) that makes the equation true when \( x = 1 \) is \( y = 2 \).

Therefore, the correct answer is:
C) 2
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