I tried solving these but I gave up lol I could only get to the parts where you add the x values and add the y values
For example, for number 1, 7x+-14x=-7x and 2y-3y=-1y (you would only add if there is a + right?)
And then add -10+29= 19 so I got to -7x+-1y=19 but i don't even know if I did that right. I got stuck there.
The keys to solving these
(1) line up all variables on one side of the equation and constants on the other
(2) pick a variable to eliminate....either will do....this is the REAL key
(3) not a necessity...but I always like to get rid of fractions, too, before I start
7x + 2y = -10
-14x - 3y = 29
I see that if I multiply the top equation by 2 and add it to the second equation, the "x" term will disappear..so
14x + 4 y = -20
-14x - 3y = 29 add these and we get
y = 9
To find x...we can use any equation...so...
7x + 2(9) = -10
7x + 18 = -10
7x = -28
x = -4
So.....(x, y) =(-4, 9)
Do you want to try a couple on your own, RainbowPanda ??
@CPhill, 29 or -29? This was in step 2.
(2) Multiply the second equation by 2, so: -9x-14y=-29, 10x+7y=-2, -9x-14y=-29, 20x+14y=-4..
So, adding: y gets canceled, and 11x=-33, \(x=-3\), so y= -9(-3)-14y=-29, 27-14y=-29, 14y=27+29, 14y=56, \(y=4.\)
Nobody is going to help you. You should probably pay more attention in class. I guess that means you're kind of dumb. 💸💰💎😎😈💩.
Can you answer me this, what is 2+6578901+51784946% and -17264967+-837956881868078.
4) -20 + 10 x = -10y
45 = 6x - 27 y
Rearrange each as
10x + 10y = 20
6x - 27 y = 45
I see that I can divide the top equation by 10 and the bottom by 3 to get :
x + y = 2
2x - 9y = 15
I see that I can eliminate 'x" by multiplying the top equation by -2
-2x - 2y = -4
2x - 9y = 15 add these
-11y = 11
y = -1
And using any equation to find x, we have
x + y = 2
x + (-1) = 2
x - 1 = 2
So (x,y) = (3 , -1)
Do these steps help ???
(4) Hint: Try to rearrange the equation, the first and second: Take -10y to the other side, and see what you can do.
Thank you so much for your help, both of you. I have tried it and yet i'm still too dumb to solve these. >.<
You're not "dumb"....it's just hard to get the hang of this...
I'll do 2) and 3).....maybe that will help some
2) - 9x - 14y = -29
10x + 7y = -2
Ok....do you see that we can eliminate y by multiplying the second equation by -2 ??...so we have
-9x - 14 y = -29
20x + 14y = -4 add these
11x = -33 divide by 11
x = -3
Using 10x + 7y = -2 to find y, we have
10(-3) + 7y = -2
-30 + 7y = -2 add 30 to both sides
7y = 28 divide by 7
y = 4
So...(x, y) = ( -3, 4)
3) 0 = -36x + 14y + 8
0 = 18y - 9 - 27x
Rearrange these as
36x - 14y = 8
27x - 18 y = -9
Divide the first equation through by 2 and the second one through by 9
18x - 7y = 4
3x - 2y = -1
I see that we can get "-18x" by multiplying the second equation by -6 ...so we have
18x - 7y = 4
-18x + 12y = 6 add these
5y = 10 divide by 5
y = 2
Using 3x - 2y = -1 to find x, we have
3x - 2(2) = -1
3x - 4 = -1
3x = 3 divide by 3
x = 1
So (x,y) = ( 1, 2)
It's just that some of the problems are different so it makes it harder to understand and to know you are doing the problems correctly because you can't go off of one problem if they are even the slightest bit different. Am I even making sense right now xD
Thank you for helping~
For (3). Just take the constant to the other side, you're left with x and y= constant.
Here, I'll show you!
0=-36x + 14y + 8
0 = 18y -9 -27x
Best thing to do first: 36x - 14y = 8 - 0, 36x - 14y = 8
And, for the second equation: 27x - 18y = 0+9, 27x - 18y = -9.
Now, divide the first equation by 2 and the second equation by 9, because the x will end up as a canceling factor.
So, 18x-7y=4, 3x-2y=-1, try to make both x's equal, subtract find x, then solve for y!