Answered

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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 solve for \( a \) such that the point \((a, 3)\) lies on the graph of the equation \( 5x + y = 8 \), follow these steps:

1. Substitute the known value of \( y \) into the equation: Since the point is \((a, 3)\), we know \( y = 3 \).

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

2. Isolate \( x \): To find \( x \), we need to isolate it on one side of the equation. Subtract 3 from both sides of the equation:

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

Simplifying this gives:

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

3. Solve for \( x \): Now, divide both sides of the equation by 5:

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

Simplifying this gives:

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

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

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