highschoolboy
14.07.2021 •
Mathematics
Match each equation with its solution.
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Ответ:
Step-by-step explanation:
X = cost of PB
Y = cost of J
6X + 4Y = 1932 <--- price is in pennies
5X + 3Y = 1567 <--- price in pennies
Dividing everything in the first equation by 2:
3X + 2Y = 966 <--- price is in pennies
5X + 3Y = 1567 <--- price in pennies
Elimination method... let's multiply the first equation by 3 and the second equation by -2.
9X + 6Y = 2898
-10X + -6Y = -3134
-X = -236
X = 236 --> so the price of the PB is 236 pennies or $2.36
Plugging into the second equation as the numbers are a bit smaller,
5X + 3Y = 1567
5(236) + 3Y = 1567
1180 + 3Y = 1567
3Y = 387
Y = 129. So the price of the jelly is 129 pennies or $1.29.
Now we check: 4 x $1.29 + 6*2.36 = $19.32
3 x $1.29 + 5 x 2.36 = $15.37
The answers are verified and highlighted in bold.
6X + 4Y = 1932 <--- price is in pennies
5X + 3Y = 1567 <--- price in pennies