Answer:

Step-by-step explanation:
Given the following system of equations:

In order to solve the system of equations using the Elimination Method, you can follow these steps:
- Multiply the first equation by -6 and the secondd equation by 4.
- Add both equations.
- Solve for "y".
Then:

- Substitute the value of "y" into one of the original equations and solve for "x":

Answer:
a) x = 5
b) x = 4
Step-by-step explanation:
a)
= 9.5
3x+4 = 9.5(2)
3x = 19-4
x = 15/3
x = 5
b)
= 5
7+2x = 5(3)
2x = 15-7
x = 8/2
x=4
The answer is -3, hope this helps!
Answer: a) 1 / ⁴⁰C₅ b) 0.33
Step-by-step explanation:
a) The sample space consists of all numbers 1-40.
Since any of the number can be taken from the sample space so each of five 5 distinct numbers we take has equal probability of occurring. So probability of each 5 numbers set we take will be equal to 1 / ⁴⁰C₅
b)
If we pick exactly 3 even number then that means other 2 will be odd.
So, we have sample space of 40 numbers out of which 20 are even and 20 are odd.
Now we have to pick 3 even out of 20 and 2 odd out of 20.
Probability = ²⁰C₃ * ²⁰C₂ / ⁴⁰C₅
Probability= 0.33
Answer:
The third one, y = 5 x 10
Step-by-step explanation:
y = number of Kate's pens, 5 = how many times more pens Kate has than Mark, and 10 = how many pens Mark has.