Answer:
x = 3.25
y =4.75
Step-by-step explanation:
In order to Solve the following system of equations below algebraically using substitution method we say that;
let;
8x - 4y = 7
..................... equation 1
x + y = 8.......................... equation 2
from equation2
x + y = 8.......................... equation 2
x = 8 - y.............................. equation 3
substitute for x in equation 1
8x - 4y = 7
..................... equation 1
8(8-y) - 4y = 7
64-8y-4y=7
64-12y=7
collect the like terms
64-7 = 12y
57= 12y
divide both sides by the coefficient of y which is 12
57/12 = 12y/12
4.75 = y
y =4.75
put y = 4.75 in equation 3
x = 8 - y.............................. equation 3
x = 8 -4.75
x = 3.25
to check if your answer is correct, put the value of x and y in either equation 1 or 2
from equation 2
x + y = 8.......................... equation 2
3.25 + 4.75 =8
8=8.................... proved
From the statements given in the problem, we can say
that:
Final Score = (total of the remaining scores) * degree of
difficulty * 0.6
Therefore:
97.2 = (total of the remaining scores) * 4.0 * 0.6
total of the remaining scores = 40.5
Therefore the judges could have scored which has a total
of 40.5
The GCF of these terms is x
Step-by-step explanation:
Given polynomials are:
Both polynomials have to be multiplied. We will use distributive property for the said purpose
So,
Combining alike terms
Hence,
Keywords: Polynomials, Multiplication
Learn more about polynomials at:
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