Answer:
Correct option: c) infinitely many solutions
Step-by-step explanation:
We have an equation with two variables, so as we have a system with less equations (just one) than variables (two), we have an infinite number of solutions.
To find some solutions, we can choose values for x and then just calculate the value of y:
x = 0:
-11y = 10 -> y = -10/11
x = 1:
3 - 11y = 10 -> y = -7/11
x = 2:
6 - 11y = 10 -> y = -4/11
And so on.
So the correct option is c): infinitely many solutions
EQUATION 1: x-y=12
EQUATION 2: 3x+y=4
STEP 1:
solve for one variable in equation 1
x - y= 12
add y to both sides
x= 12 + y
STEP 2:
use x value from step 1 and substitute in equation 2
3x + y= 4
3(12 + y) + y= 4
multiply 3 by parentheses
(3*12) + (3*y) + y= 4
multiply inside parentheses
36 + 3y + y= 4
combine like terms
36 + 4y= 4
subtract 36 from both sides
4y= -32
divide both sides by 4
y= -8
STEP 3:
substitute y value from step 2 into either equation
x - y= 12
x - (-8)= 12
x + 8= 12
subtract 8 from both sides
x= 4
CHECK:
x= 4, y= -8
3x + y= 4
3(4) + (-8)= 4
12 - 8= 4
4= 4
ANSWER: The x value is 4 and the y value is -8.
Hope this helps! :)
Answer:
an ordered pair anywhere on the parabola
the coordinates for the vertex
the formula for vertex form
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
6+30=36
6^2=36
The answer to the problem is 12-6x
