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If the point \((a, 3)\) lies on the graph of the equation \(5x + y = 8\), then \(a =\)

A. \(1\)

B. \(-7\)

C. [tex]\(-1\)[/tex]

Sagot :

GinnyAnswer
To determine the value of \( a \), let's use the given information that the point \((a, 3)\) lies on the graph of the equation:

[tex]\[ 5x + y = 8 \][/tex]

Given that the y-coordinate of the point is \( 3 \), we can substitute \( y = 3 \) into the equation. This gives us:

[tex]\[ 5x + 3 = 8 \][/tex]

Now, we need to solve for \( x \). Follow these steps:

1. Subtract 3 from both sides of the equation to isolate the term containing \( x \):

[tex]\[ 5x + 3 - 3 = 8 - 3 \][/tex]

Which simplifies to:

[tex]\[ 5x = 5 \][/tex]

2. Divide both sides of the equation by 5 to solve for \( x \):

[tex]\[ x = \frac{5}{5} \][/tex]

[tex]\[ x = 1 \][/tex]

Thus, the value of \( a \) is \( 1 \).

Therefore, [tex]\( a = 1 \)[/tex].
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