How many solutions does the equation 3x+15=2x+10+x+5 have
1 answer:
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Answer:
Part 1) see the explanation
Part 2) The graph in the attached figure
Part 3) The amount earned by Seiji was $250 and the amount earned by Gavin was $275
Step-by-step explanation:
Part 1) Let
s ----> amount earned by Seiji
g ----> amount earned by Gavin
we know that
-----> equation A
----> equation B
Part 2) Graph the equations of the system
To graph the lines find out the intercepts
Remember that
The x-intercept is the value of x when the value of y is equal to zero
The y-intercept is the value of y when the value of x is equal to zero
In this problem the s-axis represent the x-axis and the g-axis represent the y-axis
<em>Equation A</em>
<u>Find the s-intercept</u>
For g=0
---->
The s-intercept is the point (525,0)
<u>Find the g-intercept</u>
For s=0
---->
The g-intercept is the point (0,525)
To graph the line A plot the intercepts and join the points
<em>Equation B</em>
<u>Find the s-intercept</u>
For g=0
---->
The s-intercept is the point (-25,0)
<u>Find the g-intercept</u>
For s=0
---->
The g-intercept is the point (0,25)
To graph the line B plot the intercepts and join the points
using a graphing tool
Plot the intercepts both lines and join the points
see the attached figure
Part 3) we know that
The solution of the system of equations is the intersection point both graphs
The solution is the point (250,275)
see the attached figure
therefore
The amount earned by Seiji was $250 and the amount earned by Gavin was $275
