Answer:
(-10,-10)
Step-by-step explanation:
9x-9y=0
3x-4y=10
In elimination, we want both equations to have the same form and like terms to be lined up. We have that. We also need one of the columns with variables to contain opposites or same terms. Neither one of our columns with the variables contain this.
We can do a multiplication to the second equation so that the first terms of each are either opposites or sames. It doesn't matter which. I like opposites because you just add the equations together. So I'm going to multiply the second equation by -3.
I will rewrite the system with that manipulation:
9x-9y=0
-9x+12y=-30
----------------------Add them up!
0+3y=-30
3y=-30
y=-10
So now once you find a variable, plug into either equation to find the other one.
I'm going to use 9x-9y=0 where y=-10.
So we are going to solve for x now.
9x-9y=0 where y=-10.
9x-9(-10)=0 where I plugged in -10 for y.
9x+90=0 where I simplified -9(-10) as +90.
9x =-90 where I subtracted 90 on both sides.
x= -10 where I divided both sides by 9.
The solution is (x,y)=(-10,-10)
Answer:
The next two terms after a1 is
-6 and then 18
Step-by-step explanation:
Geometric sequence means your pattern for the terms is multiplication by the same number.
So a1 is the first term and r is your common ratio.
The common ratio is what you are multiplying by each time to figure out the next term.
So the geometric sequence goes like this:
a1 , a1*r , (a1*r)*r or a1*r^2 , a1*r^3 ,....
So anyways you have
first term a1=2
second term a2=2(-3)=-6
third term a3=-6(-3)=18
And so on...
1st- gained lost 800, gained 900
2- lost 400- gained 600
so in all she lost 1200
but then gained 1500
