Question

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Answer 1

Answer:

3. D) $(-8, -17)$

2. D) $(-15, -16)$

1. B) $(3, -4)$

Step-by-step explanation:

3.

{y = 3x + 7

{y = x - 9

x - 9 = 3x + 7

-3x - 3x

____________

−2x - 9 = 7

+ 9 + 9

__________

−2x = 16

____ __

−2 −2

$-8 = x$[Plug this back into both equations above to get the y-coordinate of −17]; $-17 = y$

__________________________________________________________

2.

{−4x + 3y = 12

{−2x + 3y = −18

−½[−4x + 3y = 12]

{2x - 1½y = −6 >> New Equation

{−2x + 3y = −18

_______________

1½y = −24

____ ____

1½ 1½

$-16 = y$[Plug this back into both equations above to get the x-coordinate of −15]; $-15 = x$

__________________________________________________________

1.

{−10x - 3y = −18

{−7x - 8y = 11

−⅜[−7x - 8y = 11]

{−10x - 3y = −18

{2⅝x + 3y = −4⅛ >> New Equation

_________________

−7⅜x = −22⅛

______ _____

−7⅜ −7⅜

$3 = x$[Plug this back into both equations above to get the y-coordinate of −4]; $-4 = y$

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