Question

Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
11x + 10y = 147,
0x + 2y = 14

Answer 1

OK, y appears to = 7 and x appears to = 7. Is that correct?

Answer 2

Actually, I'm gonna do it in a somewhat different yet simple method.
See the second equation.
0x means just 0.
So, 2y = 14
y = 7

Now, let's just substitute y in the first equation.

\(\Large \color{MidnightBlue}{\Rightarrow 11x + 70 = 147 }\)
\(\Large \color{MidnightBlue}{\Rightarrow 11x = 77 }\)
\(\Large \color{MidnightBlue}{\Rightarrow x = 7 }\)

The correct solution set is (7,7)

Answer 3

Thanks!