05-04-2018
Mathematics

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y=2x+8 and y= -2/3x. Identify the value of x that simultaneously satisfies both equations.

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altavistard altavistard

05-04-2018

Let's solve this by subst. (-2/3)x for y in y=2x+8.

Then 2x+8 = (-2/3)x. (For clarity you must use those parentheses.)

The LCD is 3. Mult. both sides by 3, obtaining

6x+24 = -2x. Then 8x = -24, and x = -3. Now that you have a value for x, subst. this value (-3) into either of the given equations to determine y.

Then write your solution in the form (-3, ?? ).

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