Solve system: y = 2x + 1 and y = -x + 4
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. (1, 3).
y = 2x + 1
y = −x + 4
Since both equal y, set them equal:
⇒ 2x + 1 = −x + 4
⇒ 3x = 3
⇒ x = 1
Now substitute in y = 2x + 1:
⇒ y = 2(1) + 1
⇒ y = 3
x = 1, y = 3