Question

Which represents the solution(s) of the system of equations, y + 4 = x^2 and y – x = 2? Determine the solution set by graphing.


(–2, 0)

(–2, 0) and (2, 0)

(–2, 0) and (3, 5)

no solutions

Answer 1

Answer:

There is no solution for this question.

Answer 2

Given : system of equations,

y + 4 = x²

y – x = 2

To Find : the solution set by graphing.

Solution:

y + 4 = x²

=> y =  x² - 4

x              y

-4             12

-3             5

-2             0

-1              -3

0              -4

1               -3

2              0

3              5

4              12

y – x = 2

=> y = x + 2

x               y

-4             -2

-3             -1

-2             0

-1              1

0              2

1                3

2              4

3              5

4              6

(–2, 0) and (3, 5)  are the solution

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