John and Ariana bought school supplies. John spent $11.00 on 5 notebooks and 7 pens. Ariana spent $7.00 on 4 notebooks and 2 pen
s. What is the cost of 1 notebook and what is the cost of 1 pen?
1 answer:
Step-by-step explanation:
set notebooks as x, set pens as y
1. 5x + 7y = 11
2. 4x + 2y = 7
1. times by 2
10x + 14y = 22
2. times by 7
28x + 14y = 49
2. minus 1.
18x = 27
x = 1.5
sub 1.5 into 2.
4(1.5) +2y = 7
6+2y = 7
2y = 1
y = 0.5
Therefore, x = 1.5, y = 0.5
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