Question

Solve the system
0.2x+y=1.3
2(0.5x-y)=4.6​

Answer 1

x = 36/7 (or approximately 5.143); y = 19/70 (or approximately 0.271)

Explanation:

First, we can distribute the 2 to have both equations look similar:

`2(0.5x-y)=4.6\\x-2y=4.6`

Now, we can eliminate the ys by multiplying the entire first equation by 2. This will allow us to solve for x.

`2(0.2x+y=1.3)\\\\0.4x+2y=2.6\\x-2y=4.6\\\\1.4x=7.2\\x=(36)/(7)\\ x=5.142857143`

Now, we can plug in 36/7 for x in any of the two equations:

`0.2((36)/(7))+y=1.3\\ (36)/(35)+y=1.3\\ y=(19)/(70)\\ y=0.2714285714`

If you use the decimal answers, you can round as much as you need.