Question

Solve the simultaneous equation : 4x+2y=17 3x+2y=14

Answer 1

Answer:

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

Step-by-step 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.

$4x+2y=17\\\rightarrow 4(3)+2y=17\\\rightarrow 12+2y=17\\\rightarrow 2y=5\\\rightarrow y=\frac{5}{2}$

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