since we want to find solutions that will work for both of the equations, we must first assume that x and y are both the same in both soy=2x-9y=-x+6we make the second equation negative by multiplying the whole thing by -1 and get-y=x-6add this to the first equationy-y=x+2x-9-60=3x-15add 15 to both sides15=3xdivide both sides by 35=xsubsitute 5=x for x in the second equationy=-x+6y=-5+6y=1
2x-9=-x+6+x +x3x-9=6 +9 +93x=15x=5therefore the equations have one solution (x=5)
Related Question in Mathematics
- On your first day of work at the Vanity Fur Grooming Shop, you groomed 3 dogs between 7:45 a.m. and 2:30 p.m., taking breaks that totaled 45 minutes. Your supervisor advises that you will be scheduling your own appointments when customers call to have their pets groomed. If you continue to work at the same rate, how much time should you allow for each grooming appointment?