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Let A = th eage of the dad
Let B = the age of the son
Since equation 1 is solved for A, plug 4B into equation 2 for A
Multiply the 10 through
Subtract 4B from both sides
Add 60 to both sides
Divide both sides by 6
Now plug 9 into equation 1 for B
Extra question #1:
The line y=mx+c passes through (2'5) and (4'13). Find the m and the c.
In that equation m is the slope and c is the Y-intercept.
Points on a graph are given in the form (X,Y).
The equation to find the slope of the line between to points is:
Now we will plug in the values you were given to solve for m.
Since we know what m equals, we can rewrite the equation of the line.
y = mx+c is now y = 4x+c
The next step is to pick one of the points that you were gven and solve for c.
I will you the point (2,5)
That means that when x=2, then y=5
Plug those values into the line equation
Subtract 8 from both sides
The equation of the line that passes through the given points is y = 4x - 3
Extra question #2:
Twice one Number added to 3 times a nother gives 21. Find the numbers if the difference between them is 3.
Since equation 2 is solved for A, plug (B + 3) into equation 1 for A.
Multiply the 2 through
Combine like terms
Subtract 6 from both sides
Divide both sides by 5
Now plug 3 into equation 2 for B.