Question

Solve the simultaneous equation :

4x+2y=17
3x+2y=14

Answer 1

(x, y) = (3, 5/2)

Explanation:

`4x+2y=17\\3x+2y=14`

I'll solve by elimination here. If you invert the second equation and add it to the first, 2y and -2y would cancel out.

`4x+2y=17\\-(3x+2y=14)`

Now just add those from top to bottom.

`\rightarrow (4x-3x)+(2y-2y)=17-14\\\rightarrow x=3`

Nothing else needs to be done for that part. Now, you can pick either equation and use the known value of x to solve for y.

`4x+2y=17\\\rightarrow 4(3)+2y=17\\\rightarrow 12+2y=17\\\rightarrow 2y=5\\\rightarrow y=(5)/(2)`

(x, y) = (3, 5/2)