Question

Solve with substitution Method:
x - 2y = 1
5x-4y=-1

Answer 1

start with adding 2y to both sides in the first equation.

\( \color{Black}{\Rightarrow x = 2y + 1 }\)

Now just substitute it in the second one.

\( \color{Black}{\Rightarrow5(2y + 1) -4y = -1 }\)
\( \color{Black}{\Rightarrow 10y + 5 - 4y = -1 }\)
\( \color{Black}{\Rightarrow 6y + 5 = -1 }\)
\( \color{Black}{\Rightarrow 6y = -4 }\)
\( \color{Black}{\Rightarrow y = -{4 \over 6} }\)

x is two times y plus 1.

\( \color{Black}{\Rightarrow x = 2({-2 \over 3}) + 1 }\)