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Solve the simultaneous equations

y = 2 - x
6x + 5y = 11
x + 2y = 2
2x + y = 1

User MKD
by
7.6k points

1 Answer

3 votes

Answer:

x = 2

y = 0

Explanation:

Here are the simultaneous equations:


y=2-x\\6x+5y=11\\x+2y=2\\2x+y=1\\

There are only two unknown values, so only two equations are needed to find the answer. I will use these:


y=2-x\\x+2y=2

Substitute the first equation into the y in the second equation:


x+2(2-x)=2

Simplify


x+4-2x=2\\x=2

Use the value of x to find y in equation 1:


y=2-x\\y=2-2\\y=0

User Redbandit
by
8.2k points

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