can someone explain how to do this?
2007-07-17 13:43:21 · 12 answers · asked by none 1 in Science & Mathematics ➔ Mathematics
(6,7) is one of infinitely many solutions to that equation.
In (6,7) the x-value is 6 and the y-value is 7. Plug these into
5x-3y=9
5(6) - 3(7) = 9
30 - 21 = 9
9 = 9
See, it works -- we get a true equation.
However, this is not the only solution to that equation some others are:
(9, 12)
(12, 17)
(3, 2)
(0, -3)
(-3, -8)
And I could keep going. If you graph all of these points, they will form a straight line. Connect the points and extend it drawing arrows on both sides. Every point on that line passes through is also a solution to 5x-3y=9.
I hope this helps!
2007-07-17 13:47:18 · answer #1 · answered by math guy 6 · 1⤊ 0⤋
This is an equation for a linear graph. By solving for y, you get a standard form equation of y = (5/3)x -3. That means the slope is 5/3, and the y-intercept is at -3. If you make a table for x and y, then start substituting numbers in to make it work, you will get the points on the line. The line is endless, so there are many, many solutions for this. However, only a few will be integer numbers. (6,7) is one of them. Choose numbers for x that are divisible by 3 to get integer answers.
x = 0, 3, 6, 9, 12, -3, -6, etc.
y = -3, 2, 7, 12, 17, -8, -13, etc.
2007-07-17 14:00:09 · answer #2 · answered by TitoBob 7 · 1⤊ 0⤋
Simply substitute the numbers into the equation
5x6 -3x7 = 30 - 21 =9 and you find that (6,7) is ONE solution.
However, there is a solutions. for every value of either x (or y).
You can re-arrange the terms
5x - 3y =9
5x - 9 = 3y
y = 5x/3 - 3
If you pick any x which is a multiple of 3, you will get whole number values of y
2007-07-17 18:05:46 · answer #3 · answered by Neal H 2 · 0⤊ 0⤋
(6,7) is a coordinate with x=6 and y=7. So plug 6 in for x and 7 in for y and see if the equation is true -
5(6)-3(7) = 9?
30 - 21 = 9? Yes, therefore it is true.
2007-07-17 13:48:49 · answer #4 · answered by Gary H 6 · 1⤊ 1⤋
The number 6 plugs into the X. The 7 plugs into the Y. Your problem then should look like 5(6)-3(7)=9. Then you multiply both sets of numbers. The equation then should look like 30-21=9. After subtracting both sides should equal to 9=9. The answer is TRUE.
2007-07-17 13:51:04 · answer #5 · answered by Mike C. 1 · 1⤊ 1⤋
Check
(5 x 6) - (3 x 7) = 30 - 21 = 9
Therefore x = 6 andy y = 7 are solutions to given equation.
TRUE
2007-07-19 18:55:21 · answer #6 · answered by Como 7 · 0⤊ 0⤋
Substitute the values of x and y in the equation.
5x - 3y = 9
5(6) - 3(7) = 30 - 21 = 9
TRUE.......Ans
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2007-07-17 13:51:34 · answer #7 · answered by Joymash 6 · 1⤊ 1⤋
true 5 times 6 equals 30
3 times 7 equals 21
30-21 is 9
2007-07-17 13:46:46 · answer #8 · answered by Anonymous · 1⤊ 1⤋
False.
As many people have shown above, (6,7) is *a* solution. It is not *the* solution.
It cannot be uniquely solved without another, simultaneous, equation.
2007-07-17 23:40:16 · answer #9 · answered by Paul E 2 · 0⤊ 0⤋
5x = 9 + 3y
x = (9 + 3y) / 5
Plot the graph
2007-07-17 13:55:19 · answer #10 · answered by bouncer bobtail 7 · 0⤊ 0⤋