Question

To draw the graph of \(4x + 5y = 19\), find \(y\) when \(x = 1\):

• A. 4
• B. 3
• C. 2
• D. -3

Hint:

To find the value of one variable in a linear equation, substitute the given value of the other variable and solve step by step.

Answer 1

The Correct Option is A

Step 1: Substitute \(x = 1\) into the equation.
The given equation is \(4x + 5y = 19\).
Substituting \(x = 1\), we get:
\[ 4(1) + 5y = 19 \] Step 2: Simplify the equation.
\[ 4 + 5y = 19 \] Step 3: Solve for \(y\).
Subtract 4 from both sides:
\[ 5y = 19 - 4 \] \[ 5y = 15 \] Divide both sides by 5:
\[ y = 3 \] Step 4: Conclusion.
Hence, when \(x = 1\), the value of \(y\) is \(3\).
Final Answer: \[ \boxed{y = 3} \]