16 solve by the elimination method.?

multiply 1st equation by 30 and 2nd equation by 20

9x - 6y = 120

8x + 6y = 980/23

add both equations

17x = (2760 + 980)/23

x = 3740/(17*23) = 220/23

9*220/23 - 6y = 120

(1980 - 2760)/23 = 6y

y = -130/23

multiply 2nd equation by 4

28y - 8x = -18

add above to 1st equation

19y = -9.5

y = -9.5/19 = -1/2

28(-1/2) - 8x = -18

-14 - 8x = -18

-8x = -4

x = 1/2

multiply 1st equation by -3

-0.15x - 0.75y = -198

add above to 2nd equation

-0.7y = -126

y = 180

0.05x + 0.25*180 = 66

0.05x + 45 = 66

0.05x = 21

x = 21/0.05 = 420

3x + 2y = sixteen 5x + 5y = 12 on account that there's no longer something to be cancelled, a undeniable value could desire to be dispensed. right here, i'm going to apply 5 and -2. 5(3x + 2y = sixteen) -2(5x + 5y = 12) 15x + 10y = 80 -10x - 10y = -24 Cancel 10y and -10y. 15x = 80 -10x = -24 upload. 5x = fifty six (Divide the two components by way of 5) x = fifty six/5 or 11.2 Getting y: 3(fifty six/5) + 2y = sixteen 168/5 + 2y = sixteen 5(168/5 + 2y = sixteen) 168 + 10y = 80 10y = 80 - 168 10y = -88 (Divide the two components by way of 10) y = -88/10 or -40 4/5 or -8.8 Checking: 3(fifty six/5) + 2(-40 4/5) = sixteen 168/5 - 88/5 = sixteen 80/5 = sixteen sixteen = sixteen subsequently, x = fifty six/5, y = -40 4/5 answer Set: (fifty six/5 or 11.2, -40 4/5 or -8.8) desire this facilitates.