Answer:
Monica's age = 34 years
Her daughter's age = 10 years
Step-by-step explanation:
Let Monica's age = x
Let her daughter'sage = y
x + y = 44 -------> equ 1
After 2 years:
Monica's age = x + 2
Her daughter's age = y + 2
x + 2 = 3 * (y+2)
x + 2 = 3y + 6
x = 3y + 6 -2
x = 3y + 4
Put x value in equ 1:
3y + 4 + y = 44
4y = 44 - 4
4y = 40
y = 40/4
y = 10
x = 44 -10
x = 34
Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is equal to 0)
<u>1) Determine the slope (m)</u>
where two points that the line passes through are
and 
We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.
Plug these points into the equation

Therefore, the slope of the line is 3. Plug this into 

<u>2) Determine the y-intercept (b)</u>
The y-intercept is given; it is 4. Plug this back into 

I hope this helps!
Answer:
x=ln(72)/ln(12) or x=1.721
Step-by-step explanation: