The lowest common denominator is 21
7 and 79/100 miles that is the answer
Answer:
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Let us say, the CD amount she invested is "c"
and the amount she invested in the savings bond is "s"
she invested a total of 5,000
so, whatever "c" is and "s" is, c + s = 5,000
now, the CD account earned 4% in interest
4% in decimal form is 4/100 or 0.04
she also earns 7% from the saving bonds,
7/100 is 0.07
the interest earned after one year are 300
that is, the 4% per year and the 7% per year add up to 300 bucks
so, one can say that
0.04c + 0.07s = 300
If you graph y=7x-9 and y=3x-1 the two lines will intersect at one point. That is how you graphically "solve" the system of equations.
Both of these lines are of the form y=mx+b where m is the slope and b is the y-intercept.
So for y=7x-9, the slope is 7 and the y-intercept is -9
For y=3x-1, the slope is 3 and the y-intercept is -1
....
The solution for this system occurs when both coordinates are equal to each other so we can say:
7x-9=3x-1 subtract 3x from both sides
4x-9=-1 add 9 to both sides
4x=8 divide both sides by 4
x=2, making y=3x-1 become:
y=3(2)-1=6-1=5, so the solution to the system of equations is:
(2,5)