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If [tex]3x + 4y = 7[/tex], which of the following expressions is equivalent to [tex]y[/tex]?

A. [tex]\frac{7 - 3x}{4}[/tex]
B. [tex]\frac{3x - 7}{4}[/tex]
C. [tex]\frac{7 + 3x}{4}[/tex]
D. [tex]\frac{7 - 4x}{3}[/tex]

Sagot :

GinnyAnswer
Sure! Let's solve for [tex]\( y \)[/tex] from the equation [tex]\( 3x + 4y = 7 \)[/tex].

1. Start with the given equation:
[tex]\[ 3x + 4y = 7 \][/tex]

2. To isolate [tex]\( y \)[/tex], first subtract [tex]\( 3x \)[/tex] from both sides of the equation:
[tex]\[ 4y = 7 - 3x \][/tex]

3. Now, divide both sides of the equation by 4 to solve for [tex]\( y \)[/tex]:
[tex]\[ y = \frac{7 - 3x}{4} \][/tex]

Therefore, the expression equivalent to [tex]\( y \)[/tex] is:
[tex]\[ y = \frac{7 - 3x}{4} \][/tex]
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