Question

system of equations
started: jan 21 at 10:34pm
quiz instructions
question 1
solve the system of equation
$y = 2x + 1$
$y = -x + 7$
○ (3,7)
○ (1,3)
○ (2,5)
○ (4,9)

Explanation:

Step1: Set the two equations equal

Since both equations are solved for \( y \), we can set \( 2x + 1=-x + 7 \).

Step2: Solve for \( x \)

Add \( x \) to both sides: \( 2x+x + 1=-x+x + 7\), which simplifies to \( 3x + 1 = 7 \). Then subtract 1 from both sides: \( 3x=7 - 1=6 \). Divide both sides by 3: \( x=\frac{6}{3}=2 \).

Step3: Find \( y \) using \( x = 2 \)

Substitute \( x = 2 \) into \( y = 2x+1 \): \( y=2(2)+1 = 4 + 1=5 \).

Answer:

(2,5)