Answer: Inconsistent.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Solve for "y" in each equation:
<em>Equation 1</em>
<em>Equation 2</em>
<em> </em>
<em> </em>
You can notice that the slope of the <em>Equation 1 </em>is:
And the slope of the <em>Equation 2 </em>is:
Observe that , then you can conclude that the lines are parallel and the System of equations has No solution.
When there is no solution the classification of the system of equations is: "Inconsistent".
<em> </em>
Answer:
First mechanic worked 20 hours and second mechanic worked 5 hours
Step-by-step explanation:
Let the number of hours the first mechanic worked =
Let the number of hours the second mechanic worked =
Therefore, we can write 2 equations and then solve them simultaneously:
Rearranging the first equation:
and substituting into the second equation to find :
Now sub into the first equation to find
Therefore, first mechanic (a) worked 20 hours and second mechanic (b) worked 5 hours
The missing factor in the equation is -21
<h3>What is a distributive factor?</h3>The Distributive Property introduces the multiplication operator an existing mathematical statement that involves the addition operator.
From the complete question, the equation is given as:
Where x represents the missing factor.
So, we have:
Remove brackets
Collect like terms
Evaluate the like terms
Divide both sides by -1
Hence, the missing factor in the equation is -21
Read more about the distributive property at: