The answer is 10/3, the whole number form of it is 3 1/3 :)
The linear combination method is the same as the elimination method. Let's multiply the second equation by -2 so the x terms cancel each other out. When we do that we get a system of
![2x-3y=13](https://tex.z-dn.net/?f=2x-3y%3D13)
and
![-2x-4y=8](https://tex.z-dn.net/?f=-2x-4y%3D8)
. The x-terms cancel each other out giving us
![-7y=21](https://tex.z-dn.net/?f=-7y%3D21)
and y = -3. Now sub -3 into one of the equations to solve for x. x+2(-3)=-4, and x - 6 = -4. x = 2. So the solution for our system is (2, -3)
Multiply the two values together to get 45 * 3/5 = 135/5 = 27
Answer:
31 children and 290 adults
Step-by-step explanation:
Let a = number of adults and c = number of children.
a + c = 321
2a + 1.75c = 634.25
Multiply both sides of the the first equation by -2 and add it to the second equation.
-2a - 2c = -642
(+) 2a + 1.75c = 634.25
--------------------------------------
-0.25c = -7.75
Divide both sides by -0.25
c = 31
Use the first equation to find a.
a + c = 321
Substitute 31 for c.
a + 31 = 321
Subtract 31 from both sides.
a = 290
Answer: 31 children and 290 adults
Answer:
x,y = 13/3, -10/3
Step-by-step explanation:
8x+8y=8
8x+2y=28 Subtract eq1 by eq 2
6y=-20
y=-20/6 y = -10/3
8x - 80/3=8
8x=34 2/3
x=4 1/3
x=13/3
Hope this helps plz hit the crown :D