What is the solution to the system of equations graphed below? y = x + 2 y = 3x – 2 A. (0, 2) B. (2, 4) C. (4, 2) D. (0, –2)
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Answer:
B. (2, 4)
Explanation:
Given equations:
a) y = x + 2
b) y = 3x – 2
Solve them simultaneously:
x + 2 = 3x – 2
x - 3x = -2 - 2
-2x = -4
x = 2
Then find y = x + 2 = 2 + 2 = 4
Solution: (x, y) = (2, 4)
Answer:
(2,4)
Step-by-step explanation:
substitute the value of y x+2 = 3x-2
solve the value of x x = 2
substitue the value of x into one of the equations y = 2+2
solve for y value y = 4