Explain why the system has the answer given. Solve each system by elimination to prove your answer.
1 answer:
Answer:
<em>Proved below</em>
Step-by-step explanation:
<u>System of Equations</u>
There are several ways to solve a system of linear equations. One of the most-used is the method of elimination which consists in adding two or more equations to eliminate one or more variables.
The system shown in the question has evidently no solutions because we have the same variables related in the exact same way in the left side of both equations and a different number as a result of those operations.
To prove the statement, let's multiply the first equation by -1
Adding both equations:
This false result comes from the fact that we tried to solve a system with no solutions. The only way we could have solved it is that both right sides had been equal
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<h3><u>The equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel to the line -5x + 4y = 8 is:</u></h3>
<em><u>Solution:</u></em>
Given that,
We have to find the equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel to the line -5x + 4y = 8
<em><u>The equation of line in slope intercept form is given as:</u></em>
y = mx + c
Where "m" is the slope of line
From given,
-5x + 4y = 8
Rearrange to slope intercept form
4y = 5x + 8
On comparing the above equation with slope intercept form,
We know that, slopes of parallel lines are equal
Therefore, slope of line parallel to the line -5x + 4y = 8 is:
Substitute c = 13 and m = 5/4 in eqn 1
Thus the equation of line in slope intercept form is found