*Inverse of mult. by 5 is div. by 5
*x-intercept
y-intercept
*Inverse of mult. by -2 is div. by -2
*y-intercept
Find another solution by letting x = 1.
*Inverse of mult. by -2 is div. by -2
Solutions:
x
y
(x, y)
2
0
(2, 0)
0
-5
(0, -5)
1
-5/2
(1, -5/2)
Plotting the ordered pair solutions and drawing the line:
y-intercept
*Inverse of mult. by -1 is div. by -1
*y-intercept
Find another solution by letting x = 1.
*Inverse of mult. by -1 is div by -1
Solutions:
x
y
(x, y)
-1
0
(-1, 0)
0
1
(0, 1)
1
2
(1, 2)
Plotting the ordered pair solutions and drawing the line:
The answer is yes, they intersect at (4, 5).
The solution to this system is (4, 5).
I will choose to solve for x in the first
equation:
(Note it would be perfectly fine to solve for y)
*Inverse of add 6 is sub. 6
(13, -10) is a solution to our system.
Multiplying first equation by it's LCD we get:
I'm going to choose to work with the x's. The
smallest number that both 6 and 9 go into is 18. This works
in the same fashion as LCD, you want the smallest number they both go into.
Make one of them positive and the other negative (it doesn't matter which
one is which), so that you have opposites.
Multiplying the first equation by 3 and the second equation by -2
we get:
*x's have opposite
coefficients
I choose to plug in 5 for y into the
second equation to find x's value.
*Inverse of add 25 is sub. 25
*Inverse of mult. by 9 is div. by 9
(-8/3, 5) is a solution to our system.
Last revised on July 10, 2011 by Kim Seward.
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