Question

3x+y=1/3

2x-3y=8/3
Solve the system of linear equation using any method. EXPLAIN your choice of method. PLEASEE

Answer 1

x = 1/3; y = -2/3

Explanation:

We can solve using substitution by isolating y in the first equation and plug in this y for y in the second equation. I chose this method because it's very simply to isolate the y and only requires a simple subtraction:

`3x+y=1/3\\y=-3x+1/3\\\\2x-3(-3x+1/3)=8/3\\2x+9x-1=8/3\\11x-1=8/3\\11x=11/3\\x=1/3`

Now, we can plug in 1/3 for x in any of the two equations. Let's try the first original equation:

`3(1/3)+y=1/3\\1+y=1/3\\y=-2/3`

Finally, we can check our answers by plugging in 1/3 for x and -2/3 for y into to both equations and see that we get 1/3 and 8/3 respectively:;

First equation:

`3(1/3)-2/3=1/3\\1-2/3=1/3\\1/3=1/3`

Second equation:

`2(1/3)-3(-2/3)=8/3\\2/3+2=8/3\\8/3=8/3`