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Question: The cost of 3 math journals and 6 science journals is $66 and the cost of 4 math journals and 1 science journal is $32. Find the cost of a math journal and a science journal graphically.


A ) $6, $8
B ) $21, $45
C ) $713, $6.4
D ) $17, $49

Steps to derive

1 Let $x be the cost of a math journal and $y be the cost of a science journal.

2 3x + 6y = 66 ------ (1)
 [Cost of 3 math journals and 6 science journals is $66 .]

3 4x + y = 32 ------ (2)
 [Cost of 4 math journals and 1 science journal is $32.]

4 y = - 12 x + 11
 [Write equation 1 in slope - intercept form.]

5 y = - 4x + 32
 [Write equation 2 in slope-intercept form.]

6 Graph the equations.


7 The two lines are intersecting at (6, 8) as shown in the graph.

8 So, the cost of a math journal is $6 and the cost of a science journal is $8.



Hence the right answer is Option A

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