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Ilya [14]
3 years ago
15

What is the answer to this word problem or how would I solve it

Mathematics
1 answer:
USPshnik [31]3 years ago
5 0
Its a simultaneous equation:
lets make "x" the used games and "y" the new ones

4x + 2y = 84
6x + y = 78. (multiply this by 2 to cancel out y)
12x + 2y = 156

so now we subtract them:
12x - 4x = 156 - 84
x = 9
used games cost $9
new games cost 78 - 6(9) = $24

Janet has $120 but she already bought 3 NEW games so:
120 - 3(24) = $48 left

48/9 = how many used ones she can buy = 5. something

she can buy 5 used
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Answer:

y = (-2/5)x - 2

Step-by-step explanation:

One way to attack this problem is to interchange the coefficients of x and y and change the sign of one to +:  5x - 2y = -6 becomes 2x + 5y = c.  Solving for the slope, m, we get 5y = -2x + c first, and then y = (-2/5)x + D.

Subbing 5 for x and -4 for y, we now have -4 = (-2/5)(5) + D.

Then -4 = -2 + D, so that D = -2.

The desired equation is thus y = (-2/5)x - 2.

Check:  Does this pass through (5, -4)?  Is -4 = (-2/5)(5) - 2 true?  Yes.

Is the slope -2/5 the negative reciprocal of 5/2?  Yes, it is.


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