Question

graphing systems
drag the points to graph the system and find the solution:
$y = x + 4$
$y = -2x + 1$
enter your solution in $(x,y)$ and press submit.

Explanation:

Step1: Set equations equal

Since \( y = x + 4 \) and \( y = -2x + 1 \), set \( x + 4 = -2x + 1 \).

Step2: Solve for \( x \)

Add \( 2x \) to both sides: \( 3x + 4 = 1 \). Subtract 4: \( 3x = -3 \). Divide by 3: \( x = -1 \).

Step3: Find \( y \)

Substitute \( x = -1 \) into \( y = x + 4 \): \( y = -1 + 4 = 3 \).

Answer:

\((-1, 3)\)