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38 votes
38 votes
Ordered pair of

4x+8y=16

2x-3y=22

User RNA
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1 Answer

8 votes
8 votes

ANSWER: (8, -2)

Explanation:

First, put the lines in slope-intercept form.

4x + 8y = 16

8y = 16 - 4x

y = 2 - 4/8x

y = -1/2x + 2

2x - 3y = 22

-3y = 22 - 2x

y = -22/3 + 2/3x

y = 2/3x - 22/3

Now, make them equal to each other.

-1/2x + 2 = 2/3x - 22/3

Solve for x.

-1/2x + 2 = 2/3x - 22/3

2 = 7/6x - 22/3

28/3 = 7/6x

x = 8

(The process of solving this does involve finding equivalent fractions.)

Solve for y.

y = -1/2x + 2

y = -1/2(8) + 2

y = -4 + 2

y = -2

y = 2/3x - 22/3

y = 2/3(8) - 22/3

y = 16/3 - 22/3

y = -6/3

y = -2

User Triskweline
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