What is the result of adding these two equations?
1 answer:
Answer:
-2x-7y=-4
Step-by-step explanation:
We want to add the two expressions
First we add the Left Hand Sides and do the same to the Right Hand Sides. This gives us:
(5x-9y)+(-7x+2y)= 1 +( -5)
Open the brackets
5x-9y-7x+2y=1-5
Regroup like terms
5x-7x-9y+2y=-4
-2x-7y=-4
The result of adding the two given expressions is -2x-7y=-4.
You might be interested in
<u>Given</u>:
The given graph passes through the points (-3,4) and (3,2)
The x - axis represents the years. The value x = 5, year 2015.
We need to determine the y - value for 2010.
<u>Slope</u>:
The slope of the line can be determined using the formula,
Substituting the points (-3,2) and (3,2), we get;
Thus, the slope of the line is
<u>y - intercept:</u>
The y - intercept in the graph is the point in the line that crosses the y - axis.
Thus, from the graph, it is obvious that the y - intercept is b = 3.
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Substituting the values, we have;
Thus, the equation of the line is
<u>The y - value for 2010:</u>
Since, it is given that x = 5 represents 2015 and 2010 is 5 years before 2010.
Hence, the value of x for 2010 is given by
Thus, x = 0 represents the year 2010.
To determine the y - value, let us substitute x = 0 in the equation , we have;
Thus, for 2010 the value of y is 3.