7. For the function defined by:

f(x)= {x^2, x<=1}
{2x+1, x>1}
a. evaluate f(0)
8. Solve the following system of equations algebraically. Verify your solution either graphically or by using matrices.
3x-y=0
5x+2y=22
9. Solve the following system of equations algebraically. Verify your solution either graphically or by using matrices
8x-2y=5
-12x+3y=7

2 answers

Well, if 8x-2y=5 what does x equal and y equal? (same with all of them)
#7 since 0<1,
f(0) = 0^2 = 0

#8 double the 1st and your system becomes
6x-2y=0
5x+2y=22
Now eliminate y by adding the two equations.

#9 If you try elimination here, you get:
24x-6y=15
-24x+6y=14
Can you see that there is no solution to this system?