Find the Points of Intersection x=2 , y=2x+1

$x = 2$ , $y = 2 x + 1$

Step 1

Replace all occurrences of $x$ with $2$ in each equation.

Replace all occurrences of $x$ in $y = 2 x + 1$ with $2$ .

$y = 2 (2) + 1$

$x = 2$

Simplify the right side.

Simplify $2 (2) + 1$ .

Multiply $2$ by $2$ .

$y = 4 + 1$

$x = 2$

Add $4$ and $1$ .

$y = 5$

$x = 2$

$y = 5$

$x = 2$

$y = 5$

$x = 2$

$y = 5$

$x = 2$

Step 2

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(2, 5)$

Step 3

The result can be shown in multiple forms.

Point Form:

$(2, 5)$

Equation Form:

$x = 2, y = 5$

Step 4

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