76.0k views
1 vote
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
8.1k 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
8.7k 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
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories