Question

HELP!

Answer 1

Answer:

• a) j+c=310; j-c=40
• b) (j, c) = (175, 135)
• see attached
• Jose earned $175; Camden earned $135

Step-by-step explanation:

Let j and c represent Jose's and Camden's earnings, respectively.

(a) One equation can be written for the total; another for the difference:

  j + c = 310 . . . . their total earnings

  j - c = 40 . . . . . the difference in their earnings

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(b) It is convenient to add these two equations to eliminate c:

  (j +c) +(j -c) = (310) +(40)

  2j = 350

  j = 175

Then c can be found as ...

  c = j -40 = 175 -40 = 135

The solution is (j, c) = (175, 135).

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(c) Using x for j, and y for c, we can use Desmos to graph the equations. The result is attached.

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(d) Jose earned $175 over the summer; Camden earned $135.