Question

the graph of the equations intersect at the point $(2, 1)$. determine the missing values in the equations. $y = \square - x$ $y = \square x - 3$ submit and explain

Explanation:

Step1: Solve for the first missing value

We know the point \((2, 1)\) lies on the line \(y = \square - x\). Substitute \(x = 2\) and \(y = 1\) into the equation:
\(1=\square - 2\)
To find the missing value, add 2 to both sides:
\(\square=1 + 2=3\)

Step2: Solve for the second missing value

The point \((2, 1)\) also lies on the line \(y=\square x - 3\). Substitute \(x = 2\) and \(y = 1\) into the equation:
\(1=\square\times2 - 3\)
Add 3 to both sides:
\(1 + 3=\square\times2\)
\(4=\square\times2\)
Divide both sides by 2:
\(\square=\frac{4}{2}=2\)

Answer:

The first missing value is \(3\) (so the equation is \(y = 3 - x\)) and the second missing value is \(2\) (so the equation is \(y = 2x - 3\)).