HELPP plz in. 17 thank u so much
1 answer:
You might be interested in
The following system of equations 8x - 12y = -9 and 18x + 27y = 21 are intersecting lines
<u>Solution:</u>
Given, system of equations are 8x – 12y = - 9 ⇒ (1)
And 18x + 27y = 21 ⇒ 6x + 9y = 7 ⇒ (2)
We have to classify the above given system of equations
For the we have to find the solution for the given system of equations
So, now, multiply (1) with 9 and (2) with 12, such that both equations will have same coefficients for y terms, such that, it will be easier to find solution while calculations by cancelling.
72x – 108y = - 81
72x + 108y = 84
(+) ---------------------------
144x + 0y = 3
144x = 3
Substitute "x" value in (2)
So, given system of equations has 1 solution which means that, they are intersecting lines.
Hence, the given system of equations are classified as intersecting lines
If you're familiar with synthetic division, but not the extended form (which allows you easily compute the quotient/remainder when dividing a polynomial by another polynomial of degree greater than 1), then you can perform two steps of SD.
Instead of dividing by
, first divide by 
, then by 
(since 
). So we have
0 | 1 4 2 1 4
... | 0 0 0 0
= = = = = = = = = = = =
... | 1 4 2 1 4
which translates to
Ignoring the remainder term for now, the next round of SD yields
-3 | 1 4 2 1
... | -3 -3 3
= = = = = = = = = =
... | 1 1 -1 4
which translates to
Now, putting everything together, we have
which is to say the remainder upon dividing
by is 
.
Instead of dividing by
0 | 1 4 2 1 4
... | 0 0 0 0
= = = = = = = = = = = =
... | 1 4 2 1 4
which translates to
Ignoring the remainder term for now, the next round of SD yields
-3 | 1 4 2 1
... | -3 -3 3
= = = = = = = = = =
... | 1 1 -1 4
which translates to
Now, putting everything together, we have
which is to say the remainder upon dividing