Question

14. What is the solution of the system? Use elimination. 9x + y = 30 6x - y = 15

Answer 1

Answer:

x=90/16,y=-150/16

Step-by-step explanation:

Simultaneous equation and we are to use elimination method

9x+y=30...(1)

6x-y=15..(2)

Add (1) and (2)

16x=15

Divide both sides by 16

x=15/16

Then substitute the value of x into (2)

6(15/16)-y=15

90/16-y=15

Substrate 15 from both sides

90/16-y-15=0

Add y to both sides

90/16-15=y

Lcm for only the left side which is 16

90-240/16=y

-150/16=y

Therefore x is 90/16 and y is -150/16