Equation 1 is 
,
Equation 2 is [/tex] 3x-2y = -1 [/tex]
for first equation LCD= 3 *5 = 15 , So we multiply whole equation by 15
Now multiply second equation by -3 , to make the coefficient of y equal and opposite , so that we can apply the elimination method
Add both the equations
Divide both sides by 11
Plug in any one of the equation we get
3(3) -2y = -1
9 - 2y = -1
subtract 9 from both sides
-2y = -10
divide both sides by -2
y=5
So the solution is x= 3 , y= 5
Which means
a. The system is consistent and independent. TRUE
Answer:
10,000
Step-by-step explanation:
500/0.05= 10,000
You take the amount you are given divided by the decimal form of the percentage you are given to find the answer. It's a reverse from the way you find 5% of 10,000.
0.05=5%
Check your work: 10,000*5%= 500
Answer:
121 books
Step-by-step explanation:
bc that equals 11 so there are 11 squares plus the two missing ones from before so u do 11x11 which would be 121
hope this helps :>
Answer:
x = 2, y = 3
Step-by-step explanation:
i) It is given that 5x - 3y =1
ii) It is also given that x = 2y - 4
iii) we can substitute the value of x from ii) in the equation in i) and we will get 5(2y - 4) - 3y = 1 ⇒ 10y - 20 -3y = 1 ⇒ 7y = 21 ∴ y = 3
iv) substituting the value of y obtained in ii) we get x = (2 × 3) - 4 = 6 - 4 = 2.
v) Therefore x = 2.
Angle θ between two vectors is given by,
; where
;
and
.
Therefore,
