NaiNai27
Answered

A pair of equations is shown below.


x + y = 2

y = one halfx + 5


If the two equations are graphed, at what point do the lines representing the two equations intersect?


(4,-2)

(-2,4)

(2,5)

(5,-2)

Verified Answer :

TSO

I'll solve it by substitution instead of graphing.

x + y = 2
y = (1/2)x + 5

Substitute equation 2 into equation 1.

x + (1/2)x + 5= 2

(3/2)x + 5 = 2

(3/2)x + 5 - 5 = 2 - 5

(3/2)x = -3

(2/3) (3/2)x = -3  (2/3)

x = -2

x + y = 2
-2 + y = 2
y - 2 = 2
y - 2 + 2 = 2 + 2
y = 4

x = -2
y = 4

(-2,4)

Your answer is B) (-2,4).

Answer:

Your answer is B) (-2,4).

Step-by-step explanation:

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