Mmm looks like a test. I don't know if we should be answering this.
8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104
The values of the letters in coordinates (a, b) and (c,d) are;
<u><em>a = -4</em></u>
<u><em>b = -6</em></u>
<u><em>c = 2</em></u>
<u><em>d = 6</em></u>
<u><em /></u>
We are given two equations;
-6x + 3y = 6 ---(eq 1)
x² + y = 10 ---(eq 2)
- We are told that they intersect at coordinates; (a, b) and (c, d).
Let us make y the subject in eq 2 to get;
y = 10 - x² --(eq 3)
- Let us put 10 - x² into eq 1 to get;
-6x + 3(10 - x²) = 6
expanding further gives;
-6x + 30 - 3x² = 6
rearranging gives;
3x² + 6x - 24 = 0
Using online quadratic equation <em>solver</em>, we have;
x = -4 and x = 2
Putting x = -4 into eq 3 gives;
y = 10 - (-4)²
y = 10 - 16
y = -6
Putting x = 2 into eq 3 gives;
y = 10 - (2)²
y = 10 - 4
y = 6
- Thus, the coordinates are; (-4, -6) and (2, 6)
Comparing with (a, b) and (c,d), we have;
a = -4
b = -6
c = 2
d = 6
Read more at; brainly.com/question/15165519
You have 2 options.
I will show you the most efficient one, but later I will tell you the other.
-4x+6y=12
6y=4x+12
y=4/6x+12
y=2/3x+12
This tells us the point (0,12) as 12 is where it meets the y-axis (that is why you add it)
And then using the slope, 2/3 we can get (2,15) (which is up 3, right 2)
Just graph those, I would show you exactly, but I cannot add attachments sadly.
The other way (which I won’t show it all as the results would end out with the same line) is to fill in x, then y, with 0
So -4*0+6y=12 which means x=0 and you are solving for y and -4x+6*0=12 which means y=0 and you are solving for x
