Answer:
Each pen costs $3.60 (Each calculator costs $14.20).
Step-by-step explanation:
Let c represent calculator
Let p represent pen
3c + 7p = 67.8
6c + 2p = 92.4
Step 1: Solve 3c + 7p = 67.8 for c:
3c + 7p = 67.8
3c + 7p + −7p = 67.8 + −7p (Add -7p to both sides)
3c = −7p + 67.8
3c/3 = −7p + 67.8/3 (Divide both sides by 3)
c = −7/3p + 22.6
Step 2: Substitute −7/3p + 22.6 for c in 6c + 2p = 92.4:
6c+2p=92.4
6(−7/3p + 22.6) + 2p = 92.4
−12p + 135.6 = 92.4 (Simplify both sides of the equation)
−12p + 135.6 + −135.6 = 92.4 + −135.6 (Add -135.6 to both sides)
−12p = −43.2
−12p/−12 = −43.2/−12 (Divide both sides by -12)
p = 3.6
Step 3: Substitute 3.6 for p in c = −7/3p + 22.6:
c = −7/3p + 22.6
c= −7/3(3.6) + 22.6
c = 14.2 (Simplify both sides of the equation)
Answer:
c = 14.2 and p = 3.6
Hope this helps and have a great day :)
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