At which points do the lines intersect
2x+y=8
y=-3(x-3)
A. 0,8
B. 3,-2
C. 2,4
D. 1,6
from the 1st ---- y = 8-2x
so 8 - 2x = -3(x-3)
8-2x = -3x + 9
x = 1
in y = 8-2x, y = 8-2 = 6
looks like D
bruh why did they change the name of this app T-T -_-
To find the points where two lines intersect, we need to solve the system of equations formed by the equations of the lines.
Given the equations:
1) 2x + y = 8
2) y = -3(x-3)
Let's solve these equations to find the points of intersection:
We can start by substituting equation 2 into equation 1 to eliminate the "y" variable:
2x + (-3(x-3)) = 8
Expanding the brackets:
2x - 3x + 9 = 8
Combining like terms:
-x + 9 = 8
Rearranging the equation to isolate x:
-x = 8 - 9
-x = -1
Dividing both sides by -1 (or multiplying both sides by -1):
x = 1
Now that we have the value of x, we can substitute it back into equation 2 to find the corresponding value of y:
y = -3(1-3)
y = -3(-2)
y = 6
So, the coordinates of the point of intersection are (1, 6).
Now let's check the answer choices to see which one matches our solution:
A. 0,8: This is not the correct answer because we found the point of intersection to be (1, 6).
B. 3,-2: This is not the correct answer as it does not match our solution of (1, 6).
C. 2,4: This is not the correct answer as it does not match our solution of (1, 6).
D. 1,6: This is the correct answer as it matches the point of intersection we found.
Therefore, the correct answer is D. 1,6