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sdas [7]
4 years ago
11

How do I work out the following simultaneous equations?

Mathematics
1 answer:
Sveta_85 [38]4 years ago
7 0
I'll show you two ways.

By substitution:

x+3y=11\\
2x-y=1\\\\
x=11-3y\\
2x-y=1\\\\
2(11-3y)-y=1\\
22-6y-y=1\\
-7y=-21\\
y=3\\\\
x=11-3\cdot3\\
x=11-9\\
x=2\\\\
\boxed{(x,y)=\left(2,3\right)}

By elimination:

x+3y=11\\ 2x-y=1|\cdot 3\\\\
x+3y=11\\
\underline{6x-3y=3}\\
7x=14\\
x=2\\\\ 2+3y=11\\
3y=9\\ y=3\\\\
\boxed{(x,y)=\left(2,3\right)}
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