Answer:
1.Therefore the solution of given system is (3,4)
2.Therefore the solution of given system is (-1,2)
Step-by-step explanation:
1.
Given the system
2x +3y =18...........(1)
-2x+5y =14...........(2)
Adding the equation (1) and (2)
2x+3y-2x+5y= 18+14
⇔8y = 32
⇔
⇔y = 4
Putting the value of y in equation (1)
2x + 3. 4=18
⇔2x+12 =18
⇔2x = 18-12
⇔2x = 6
⇔x =3
Therefore the solution of given system is (3,4)
2.
Given the system
3x +4y = 5..........(a)
2x +7y =12...........(b)
Equation (a) ×2 - equation (b)×3
2(3x+4y)- 3(2x+7y) = 2.5 -12.3
⇔6x + 8y -6x -21y = 10-36
⇔ -13y = -26
⇔
⇔y = 2
Putting the value of y in equation (a)
3x +4.2 =5
⇔3x = 5 -8
⇔3x = -3
⇔x = -1
Therefore the solution of given system is (-1,2)
Answer:
8 x + 3 = 75
9 x - 6 = 75
5 x + 5 = 50
Step-by-step explanation:
8 x + 3
8 (9) + 3
72 + 3
75
---------------------------
9 x - 6
9 (9) - 6
81 - 6
75
---------------------------
5 x + 5
5 (9) + 5
45 + 5
50
Answer:
4.25 pound
Step-by-step explanation:
Ratio is the quantitative relation between two amounts, which is being compared. In this question we are considering the ratio of weight to time consumed.
At the age 0
Weight = 2 pound
At the age 4 months
Weight = 3.5 pound
Proportion of Change = Change in Weight / Change in time = (3.5 - 2) / (4-0) = 1.5 / 4 = 0.375 pound per month
Weight after 6 months = 2 + (6 x 0.375 pond per month )= 4.25 pound
Answer:
If your looking for I the answer is -3
Step-by-step explanation:
Simplify both sides of the equation
1/2(4i+8)=-2 - Distribute
(1/2) (4i) + (1/2) (8) = -2
The subtract 4 from both sides
Then divide both sides by 2
30000 due at the end of 60 years
I'll assume that the number of days in year is 360
I=30,000×0.05×(60÷360)=250
Cash in hand at the beginning of 60 days is
30,000−250=29,750
The effective rate is
R=I÷pt
R=250÷(29,750×(60÷360))
R=0.0504×100
R=5.04%
