Question

determine if 1,4 is a solution of the system 6x + 9y = 42, 5x + 0y = 5

Answer 1

Substitute x with 1 and y with 4.
Solve for both and see if the equations are satisfied.

Answer 2

\(\Large \color{MidnightBlue}{\Rightarrow 6(1) + 9(4) = 42 }\)
\(\Large \color{MidnightBlue}{\Rightarrow 6 + 36 = 42 }\)
\(\Large \color{MidnightBlue}{\Rightarrow 42 = 42 }\)
First equation \(\checkmark \)


\(\Large \color{MidnightBlue}{\Rightarrow 5(1) + 0(4) = 5 }\)

\(\Large \color{MidnightBlue}{\Rightarrow 5 + 0 = 5}\)

\(\Large \color{MidnightBlue}{\Rightarrow 5 = 5 }\)
Second equation ---> \(\checkmark\)

So it is a solution.

Answer 3

Thanks! This is the solution.