Solve the proportion five point two over eight = y over six A. y = 4.22 B. y = 6.93 C. y = 2.86 D. y = 3.90
1 answer:
Answer:
D.y = 3.9
Step-by-step explanation:
we can express the word problem five point two over eight = y over six mathematically;
our unknown is y, so we will keep rearranging the equation by using simple principles of algebra until we get y
cross multiply;
y×8 =5.2×6
y×8 =31.2
divide through by 8
y×8÷8 =31.2÷8
y=3.9
The correct answer is D
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Answer: The system of equations is:
x + 2y + 2 = 4
y - 3z = 9
z = - 2
The solution is: x = -22; y = 15; z = -2;
Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.
The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a <u>Row</u> <u>Echelon</u> <u>Form,</u> which satisfies the following conditions:
- There is a row of all zeros at the bottom of the matrix;
- The first non-zero element of any row is 1, which called leading role;
- The leading row of the first row is to the right of the leading role of the previous row;
For this question, the matrix is a Row Echelon Form and is written as:
or in system form:
x + 2y + 2z = 4
y + 3z = 9
z = -2
Now, to determine the variables:
z = -2
y + 3(-2) = 9
y = 15
x + 30 - 4 = 4
x = - 22
The solution is (-22,15,-2).