To draw the graph of `6x + 7y = 19,` find x when y =1

Options

A. 2
B. `-2`
C. `3`
D. `-3`

Answer

To solve the equation \(6x + 7y = 19\) and find the value of \(x\) when \(y = 1\), we can follow these steps:

### Step 1: Substitute \(y = 1\) into the equation.
We start with the equation:
\[ 6x + 7y = 19 \]
Substituting \(y = 1\):
\[ 6x + 7(1) = 19 \]

### Step 2: Simplify the equation.
Now, simplify the equation:
\[ 6x + 7 = 19 \]

### Step 3: Isolate the term with \(x\).
To isolate \(6x\), subtract \(7\) from both sides:
\[ 6x = 19 - 7 \]
\[ 6x = 12 \]

### Step 4: Solve for \(x\).
Now, divide both sides by \(6\) to find \(x\):
\[ x = \frac{12}{6} \]
\[ x = 2 \]

### Conclusion:
Thus, the value of \(x\) when \(y = 1\) is \(2\).