I'd suggest using "elimination by addition and subtraction" here, altho' there are other approaches (such as matrices, substitution, etc.).
Note that if you add the 3rd equation to the second, the x terms cancel out, and you are left with the system
- y + 3z = -2
y + z = -2
-----------------
4z = -4, so z = -1.
Next, multiply the 3rd equation by 2: You'll get -2x + 2y + 2z = -2.
Add this result to the first equation. The 2x terms will cancel, leaving you with the system
2y + 2z = -2
y + z = 4
This would be a good time to subst. -1 for z. We then get:
-2y - 2 = -2. Then y must be 0. y = 0.
Now subst. -1 for z and 0 for y in any of the original equations.
For example, x - (-1) + 3(0) = -2, so x + 1 = -2, or x = -3.
Then a tentative solution is (-3, -1, 0).
It's very important that you ensure that this satisfies all 3 of the originale quations.
Are you trying to convert the percentages into fractions or??
Answer:
you have to divide 12 by 15
Step-by-step explanation:
Answer:
x=3/7 and x= 3
Step-by-step explanation:
First simplify:
-14 x^2 +48x -18
divide everything by -2
-2(7 x^2 -24x +9) (Multiply the leading coefficient 7 by the constant 9)
-2 (x^2 -24x +63)
-2 [(x-3)(x-21)] Now divide the 7 that you multiplied earlier from 3 and 21
-2 [(x-3/7)(x-21/7)]
-2 [(7x-3)(x-3)]
Hence, the zeroes are 3/7 and 3
Hope this helps!
If you think I helped, Please mark brainliest! Would really appreciate!
Answer:
z=-21
Step-by-step explanation: (9-3)/2=(6+z)/5
We move all terms to the left:
(9-3)/2-((6+z)/5)=0
We add all the numbers together, and all the variables
-((z+6)/5)+6/2=0
We add all the numbers together, and all the variables
-((z+6)/5)+3=0
We multiply all the terms by the denominator
-((z+6)+3*5)=0
We calculate terms in parentheses: -((z+6)+3*5), so:
(z+6)+3*5
We add all the numbers together, and all the variables
(z+6)+15
We get rid of parentheses
z+6+15
We add all the numbers together, and all the variables
z+21
Back to the equation:
-(z+21)
We get rid of parentheses
-z-21=0
We add all the numbers together, and all the variables
-1z-21=0
We move all terms containing z to the left, all other terms to the right
-z=21
z=21/-1
z=-21
