Questions: Question 2 Using the equation y=12x+7, solve for y, if x=3 y= 43 22 17 18 Question 3 Using the equation y=12x+7, solve for x, if y=67 X= 5

Question 2 Using the equation y=12x+7, solve for y, if x=3 y= 43 22 17 18 Question 3 Using the equation y=12x+7, solve for x, if y=67 X= 5
Transcript text: Question 2 2. Using the equation $y=12 x+7$, solve for $y$, if $x=3$ $y=$ $\qquad$ 43 22 17 18 Question 3 3. Using the equation $y=12 x+7$, solve for $x$, if $y=67$ $\mathrm{X}=$ $\qquad$ 5
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Solution

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Solution Steps

To solve these questions, we will use the given linear equation \( y = 12x + 7 \).

Question 2

To find \( y \) when \( x = 3 \), substitute \( x \) with 3 in the equation and solve for \( y \).

Question 3

To find \( x \) when \( y = 67 \), substitute \( y \) with 67 in the equation and solve for \( x \).

Step 1: Solve for \( y \) when \( x = 3 \)

Given the equation \( y = 12x + 7 \), substitute \( x = 3 \): \[ y = 12(3) + 7 = 36 + 7 = 43 \]

Step 2: Solve for \( x \) when \( y = 67 \)

Given the equation \( y = 12x + 7 \), substitute \( y = 67 \) and solve for \( x \): \[ 67 = 12x + 7 \] Subtract 7 from both sides: \[ 60 = 12x \] Divide both sides by 12: \[ x = \frac{60}{12} = 5 \]

Final Answer

\(\boxed{x = 5}\)

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