Question

Solve the simultaneous equations

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

Answer 1

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`