Question

2x +5y =8/3 and 3x-2y = 5/6 by elemination

Answer 1

Answer:

Step-by-step explanation:

2x+5y =8/3. 3x -2y=5/6. -x +7y = 11/6.

Answer 2

$2x + 5y = \frac{8}{3} -----(i)\\\\3x - 2y = \frac{5}{6}-----(ii)$

Multiplying equation (i) by 3 and (ii) by 2 and subtracting the two equations;

$6x + 15y = 8\\6x - 4y =\frac{5}{3} \\-------\\19y = \frac{19}{3}\\ \\y = \frac{1}{3}$

Putting value of y in (i) equation;

$2x + \frac{5}{3}=\frac{8}{3} \\ \\2x = \frac{8}{3}-\frac{5}{3} \\ \\2x = \frac{3}{3}\\ \\2x = 1\\x = \frac{1}{2}$

Hence, x = 1/2 and y = 1/3.