Answer:
Step-by-step explanation: You are given the equation of -7x+6y=9 and -2x-5y=16 and you are asked to find what x=? and what y=?
First step is to write down the problem
-2x-5y=16
next add 5y over the equal sign.
-2x=5y+16
Next is too divide by -2
-2x/-2=5y+16/-2
after solving you get
x=-2.5y-8
now you substitute the equation into the other formula to get
-7(-2.5y-8)+6y=9
then solve by doing -7*-2.5y and -7*-8 to get 17.5y and 56 which will give you
17.5y+56+6y=9
Next you subtract 56 to the other side to get 9-56 or -47 now you have
17.5y+6y=-47
next is too add the 17.5y and 6y together to get 23.5y
23.5y=-47
next is too divide by 23.5
23.5y/23.5=-47/23.5
solve to get y=-2, now this is half you the problem
Step two is too substitute what y=-2 into the equation of x=-2.5y-8 to get
x=-2.5(-2)-8
Solve to get
x=5-8
Solve again to get
x=-3
Your answers are x=-3 and y=-2
