Answer:
Point slope form of the equations:
y = -3x + 8
y = 2x - 2
Solution to the system of equations:
(x, y) ==> (2, 4)
Step-by-step explanation:
6x + 2y = 16
2x - y = 2
6x + 2y = 16
2(2x - y = 2) ==> 4x - 2y = 4
6x + 2y = 16
4x - 2y = 4
10x = 20
/10 /10
x = 2
Now, we solve for y:
6x + 2y = 16
6(2) + 2y = 16
12 + 2y = 16
-12 -12
2y = 4
/2 /2
y = 2
(x, y) ==> (2, 2)
Point-slope forms:
6x + 2y = 16
-6x -6x
2y = -6x + 16
/2 /2
y = -3x + 8
2x - y = 2
-2x -2x
-1y = -2x + 2
/-1 -1
y = 2x - 2
Hope this helps!
Answer:
sin(x)-cos(x)
Step-by-step explanation:
Simplify the denominator:
Simplify the numerator:
Divide the fractions: <u>(a/b)/(c/d) = (a * d)/(b * c)</u>:
Use the identity: <u>2cos(x)sin(x) = sin(2x):</u>
Cancel out the common factor (sin(2x)):
-cos(x) + sin(x)
Simplify:
sin(x) - cos(x)