Answer:
-2x+2y+3z=0
-2x-y+z=-3
2x+3y+3z=5
---------------
-2x+2y+3z=0
-2x-y+z=-3
---------------- Subtract
3y + 2z = 3 Eqn A
=========================
-2x-y+z=-3
2x+3y+3z=5
---------------- Add
2y + 4z = 2
6y + 4z = 6 Eqn A times 2
------------------------------------ Subtract
-4y = -4
y = 1
-----------------
z = 0
-------------------
x = 1
Answer:
65.3%
Step-by-step explanation:
Binomial distribution PMF below (along with a description)
the probabilty of getting 2, 3, or 4 successes in 5 trials is just
p(2)+p(3)+p(4)
p(2)= 5C2*.4²*(1-.4)³ = .3456
p(3)= 5C3*.4³*(1-.4)²= .2304
p(4)= 5C4*.4⁴*(1-.4)=.0768
.3456+.2304+.0768= .6528
We have the slope m = (6-3)/(4-1) = 3/3 = 1;
Then, y - 3 = 1·( x - 1);
finally, y = x + 2.
(-2+3)/(6+4)= 1/10
y+3=1/10(x + 4)
y + 3 = (1/10)x + 4/10
y + 30/10 = ( 1/10)x + 4/10
y = (1/10)x + 4/10 - 30/10
y = (1/10)x - 26/10
y = (1/10)x - 13/5
10(y = (1/10)x - 13/5)
10y = x - 26
-x + 10y = -26
Answer:
(2, 5 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 19 → (1)
6x + 2y = 22 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 6x - 9y = - 57 → (3)
Add (2) and (3) term by term to eliminate x
0 - 7y = - 35
- 7y = - 35 ( divide both sides by - 7 )
y = 5
Substitute y = 5 into either of the 2 equations and solve for x
Substituting into (1)
2x + 3(5) = 19
2x + 15 = 19 ( subtract 15 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
solution is (2, 5 )
