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:
Relative Size, S, is 1584.89
Step-by-step explanation:
The equation is 
Where,
- R is the measurement in Richter Scale
- S is the relative size of the earthquare
<u>It is given that in Richter Scale, an earthquake measured 3.2, so 
.</u>
<em>They want to know relative size, S, so we put given information in equation and solve for S:</em>
<em>Converting to exponential form, we have:</em>
<em>Rounding to nearest hundredth, we have:</em>
600:450 divided by 10 = 60:45
60:45 divided by 15 = 4:3
so 4:3 x 15 = 60:45 x 10 = 600:450
