Question

1. what does the solution (3,5) mean in the context of the equations ( y = x + 2 ) and ( y = 2x - 1 )?

a. ( x = 2 ) and ( y = 3 )
b. ( x = 3 ) and ( y = 2 )
c. ( x = 5 ) and ( y = 3 )
d. ( x = 3 ) and ( y = 5 )

Explanation:

Step1: Analyze the coordinate pair

In the coordinate pair \((3,5)\), the first number represents the \(x -\)value and the second number represents the \(y -\)value.

Step2: Check against the equations

For the equation \(y=x + 2\), substitute \(x = 3\): \(y=3+2=5\).
For the equation \(y = 2x-1\), substitute \(x = 3\): \(y=2\times3 - 1=6 - 1=5\).

Answer:

d. \(x = 3\) and \(y = 5\)