For a math project, my teacher wants the class to make a word problem for a system of equations that is solved by either substitution or elimination. I chose substitution. She also wants us to graph the problem. I've figured everything out for my word problem except for the graph. Nothing I try works. Here's what I've got so far:
Ken, a Salvation Army bell ringer, has quarters and nickels in his kettle. If Ken has $10.90 total and 106 coins, how many nickels and quarters does he have?
Systems:
n+q=106 (n=-q+106)
.25q+.05n=10.90
Work:
.25q+.05(-q+106)=10.90
.25q-.05q+5.3=10.90
-5.3 -5.3
.20q=5.6
_______
.20 .20
q=28
n=-28+106
n=78
How am I supposed to graph a substitution system of equations? I've looked all over the Internet and tried multiple graphing websites, but to no avail. Please help!
Ken, a Salvation Army bell ringer, has quarters and nickels in his kettle. If Ken has $10.90 total and 106 coins, how many nickels and quarters does he have?
Systems:
n+q=106 (n=-q+106)
.25q+.05n=10.90
Work:
.25q+.05(-q+106)=10.90
.25q-.05q+5.3=10.90
-5.3 -5.3
.20q=5.6
_______
.20 .20
q=28
n=-28+106
n=78
How am I supposed to graph a substitution system of equations? I've looked all over the Internet and tried multiple graphing websites, but to no avail. Please help!