a Put the following equation of a line into slope-intercept form, simplifying all fractions. x + 3y = -24
2 answers:
Answer:
See below:
Step-by-step explanation:
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We can solve the problem in a single step, that is simplifying.
I'll go and start off with that.
Simplifying
We know that slope intercept form is . Therefore, to convert that, we must isolate y to one side and keep the other stuffon the other side.
We can first subtract by x on both sides.
We can then divide both sides by 3.
We've now gotten our answer in slope intercept form.
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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).