Part(A):
To solve the system of Linear equations using Substitution:
![x+y=7 \\ 2x+y=5](https://tex.z-dn.net/?f=%20x%2By%3D7%20%5C%5C%202x%2By%3D5%20)
Consider the first equation, x+y=7 implies x=7-y
![2\left(7-y\right)+y=5](https://tex.z-dn.net/?f=%202%5Cleft%287-y%5Cright%29%2By%3D5%20)
![14-2y+y=5](https://tex.z-dn.net/?f=%2014-2y%2By%3D5%20)
![14-y=5](https://tex.z-dn.net/?f=%2014-y%3D5%20)
![\mathrm{Subtract\:}14\mathrm{\:from\:both\:sides}](https://tex.z-dn.net/?f=%20%5Cmathrm%7BSubtract%5C%3A%7D14%5Cmathrm%7B%5C%3Afrom%5C%3Aboth%5C%3Asides%7D%20)
![14-y-14=5-14](https://tex.z-dn.net/?f=%2014-y-14%3D5-14%20)
![-y=-9](https://tex.z-dn.net/?f=%20-y%3D-9%20)
![\mathrm{Divide\:both\:sides\:by\:}-1](https://tex.z-dn.net/?f=%20%5Cmathrm%7BDivide%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A%7D-1%20)
![y=9](https://tex.z-dn.net/?f=%20y%3D9%20)
![\mathrm{For\:}x=7-y](https://tex.z-dn.net/?f=%20%5Cmathrm%7BFor%5C%3A%7Dx%3D7-y%20)
![\mathrm{Subsititute\:}y=9](https://tex.z-dn.net/?f=%20%5Cmathrm%7BSubsititute%5C%3A%7Dy%3D9%20)
![x=7-9=-2.](https://tex.z-dn.net/?f=%20x%3D7-9%3D-2.%20)
![\mathrm{The\:solutions\:to\:the\:system\:of\:equationts\:are:}](https://tex.z-dn.net/?f=%20%5Cmathrm%7BThe%5C%3Asolutions%5C%3Ato%5C%3Athe%5C%3Asystem%5C%3Aof%5C%3Aequationts%5C%3Aare%3A%7D%20)
![y=9,\:x=-2](https://tex.z-dn.net/?f=%20y%3D9%2C%5C%3Ax%3D-2%20)
PArt(B): Use a graph to verify your answer to the system:
Using Desmos graphing calculator, graph the two equations.
The number of feet of wood that is needed is given as 35 feet of wood.
<h3>How to solve for the wood</h3>
We have to do this through the use of pythagoras theorem
a² = b² + c²
8² + 6²
a = √100
= 10
4² + 6²
= 52
a = √52
Then we would have
10 + 10 + √52 + √52
= 34.42
This is approximately 35 feet
The feet of wood that is needed is given as 35 feet
Read more on coordinate plane here
brainly.com/question/16992520?referrer=searchResults
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Answer
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.
Answer:
320
Step-by-step explanation:
hope this helps :)