Answer:
C. No solution
Step-by-step explanation:
System of Equations:
A) [tex]-21+15x=6y[/tex]
B) [tex]-5x+2y=-8[/tex]
Simplifying and rearranging equation A.
Dividing each term by 3 (common factor for each term) in equation A.
[tex]\frac{-21}{3}+\frac{15x}{3}=\frac{6y}{2}[/tex]
[tex]-7+5x=2y[/tex]
Subtracting both sides by [tex]2y[/tex]
[tex]-7+5x-2y=2y-2y[/tex]
[tex]-7+5x-2y=0[/tex]
Adding 7 both sides.
[tex]-7+7+5x-2y=0+7[/tex]
[tex]5x-2y=7[/tex]
Adding the above equation to equation B.
[tex]5x-2y=7[/tex]
+ [tex]-5x+2y=-8[/tex]
We have [tex]0=-1[/tex]
which is not true.
Hence the system has no solution. (Answer)
