3 yrs ago:
Alice - x
Jane - 3x
Fast forward 2 years... 1 year ago:
Sum of their ages = 62
Equation to solve: x + 3x = 62
4x = 62
----- -----
4 4
x = 15.5
From this, we can deterime that Alice is 15 1/2 years old.
Then, plug in 15.5 for x in 3x to find Jane's age.
15.5 × 3 = 46.5
From this, we can determine that Jane is 46 1/2 years old.
I hope this helps you to understand this problem better.
Answer:
a. Infinitely many solutions
Step-by-step explanation:
The given equations are 2x - y = 3
4x = 6 + 2y
We can use substitution method to solve these system of equations.
2x - y = 3
y = 2x - 3
Now plug in y = 2x - 3 in the second equation, we get
4x = 6 + 2(2x - 3)
4x = 6 + 4x - 6
4x = 4x
Here we get infinitely many solution.
Both the equations are the same.
Thank you.
Answer:
$6291.70
Step-by-step explanation:
You have the equation and a value to solve for. So, plug this in to get m = 2500 + 0.05(75,834) = 2500 + 3791.70 = $6291.70.
The equation of the line passes through (2, -1) and (4, 5) is -3x + y = - 7 So, option 2 is correct.
<u>Solution:</u>
Given, two points are (2, -1) and (4, 5)
We have to find that a line that passes through the given two points.
First let us find the slope of the line that passes through given two points.
So, slope of line "m" is given as:
So slope of our line = 
Now, let us find the line equation using point slope form:
Then equation of line is,
y – 5 = 3(x – 4)
y – 5 = 3x – 12
-3x + y = 5 – 12
-3x + y = -7
Hence, the line equation is -3x + y = - 7 so, option 2 is correct.
Answer:
No
Step-by-step explanation:
For something to be a function, there must be no duplicate x values, or if there is they must represent the same y. The table has a duplicate value of 2 so it is not a function.
I hope this helps!
