The solution to the system of equation are x = -2 and y = 3
<h3>How to find the solution of a system of equation?</h3>x + 3y = 7
2x + 4y = 8
Let's isolate x in the first equation
x = 7 - 3y
substitute the value of x in the second equation.
Therefore,
2(7 - 3y) + 4y = 8
14 - 6y + 4y = 8
-2y = 8 - 14
-2y = -6
y = -6 / -2
y = 3
Hence,
x + 3(3) = 7
x = 7 - 9
x = -2
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Answer:
The shortest length of wire that can be used is 29.47 ft.
Step-by-step explanation:
To solve this problem we can follow the following steps:
1) We have the dimensions of the floor of the room. The shortest distance between its opposite corners is the diagonal. We calculate the diagonal using the Pythagorean theorem.
2) Since the speaker is on the ceiling, and the amplifier is on the floor, then 7 more feet of wire is needed to reach the speaker. <em>Observe the attached image</em>
3) The final distance (d) is:
