We have that
y=x²----> equation 1<span>
y=x+2-----> equation 2
multiply equation 1 by -1
-y=-x</span>²
add equation 1 and equation 2
-y=-x²
y=x+2
------------
0=-x²+x+2-------------> -x²+x+2=0-----> x²-x-2=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(x²-x)=2
<span>Complete
the square. Remember to balance the equation by adding the same constants
to each side
</span>(x²-x+0.5²)=2+0.5²
Rewrite as perfect squares
(x-0.5)²=2+0.5²
(x-0.5)²=2.25-----> (x-0.5)=(+/-)√2.25-----> (x-0.5)=(+/-)1.5
x1=1.5+0.5-----> x1=2
x2=-1.5+0.5---- > x2=-1
for x=2
y=x²----> y=2²----> y=4
the point is (2,4)
for x=-1
y=x²----> y=(-1)²---> y=1
the point is (-1,1)
the answer isthe solution of the system are the points(2,4) and (-1,1)
Answer:
5x + 6y = -14
Step-by-step explanation:
Standard form means the x term will be on the farthest left, then the y term next, set equal to the constant (plain number) all by itself on the right.
Like this:
Ax + By = C
So you have
-5x - 14 = 6y
Add 14 to both sides.
-5x = 6y + 14
Subtract 6y from both sides.
-5x - 6y = 14
Also multiply both sides by -1, to make sure your A value (number next to the x) is positive.
5x + 6y = -14
65,000
Pretty sure bc 1 isn't big enough to move the 5 up a number
Answer:
a-2
Step-by-step explanation:
For the first equation:
(1,-3)
(-2,3)
(3,-6)
the second equation:
(3,5)
(0,2)
(6,-1)
