Question

question 1
solve the system of equation
y = 2x + 1
y = -x + 7
(1,3)
(4,9)
(2,5)
(3,7)
question 2

Explanation:

Step1: Set the two equations equal

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

Step2: Solve for \( x \)

Add \( x \) to both sides: \( 2x + x + 1 = 7 \), 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 \( y = 2x + 1 \): \( y = 2(2) + 1 = 4 + 1 = 5 \). So the solution is \( (2, 5) \).

Answer:

C. (2,5)