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Question 2 (10 points)Yuriy and his brother Anduray are each mailing a birthday gift to a friend. Yuriy's package weighs one lesspound than three times the weight of Anduray's package. The combined weight of both packages is 7pounds. Y represents Yuriy's package, and A represents Anduray's package.Their equations are as follows:Y = 3A - 1Y+A= 7Part 2: Solve the system using substitution or elimination to determine the weight of each package

User RonC
by
4.7k points

2 Answers

4 votes
SO,
we have two equations here in the first part,
Y
= 3A -1
y+A=7
Let us use the elimination method here,
Subtracting equation second from first we get,
y= y
- A
= 3A
0
A = 3A
8
4A = 8
A
8
A
2
putting it in second equation we get,
y
+A=7
y
+ 2
Hence, we get the required value of weights.
User Dimitris Bouzikas
by
5.3k points
4 votes

So,

we have two equations here in the first part,


\begin{gathered} Y=3A-1 \\ Y+A=7 \end{gathered}

Let us use the elimination method here,

Subtracting equation second from first we get,


\begin{gathered} Y-Y-A=3A-1-7 \\ 0-A=3A-8 \\ 4A=8 \\ A=(8)/(4) \\ A=2 \\ \text{putting it in second equation we get,} \\ Y+A=7 \\ Y+2=7 \\ Y=7-2 \\ Y=5 \end{gathered}

Hence, we get the required value of weights.

User Atao
by
4.6k points