1. solve for X and y using both equations to find the point they cross in
−x − y = −5
y = x + 1
Plug in y into first equation
-x-(x+1)=-5
-x-x-1=-5
-2x-1=-5
+1 both sides
-2x=-4
÷-2 both sides
x=2 solve for y
y=2+1
y=3
(2,3)
2. you can set them equal to each other so 2x+4=3x+1
C is your answer. 5x + 2 = 17
First let’s get them all in terms of x:
Box kites = 3x
Dragon kites = x + 2
Butterfly kites = x
Adding all those up:
x + 3x + x + 2 = 17
Combine like terms:
5x + 2 = 17
Answer:
{-2,10}
Step-by-step explanation:
x^2 - 8x = 20
Take the coefficient of x
-8
Divide by 2
-8/2 =-4
Square it
(-4)^2 =16
Add this to each side
x^2 - 8x+16 = 20+16
x^2 - 8x+16 = 36
The left hand side becomes( x + (-8/2) )^2
(x - 4)^2 = 36
Take the square root of each side
sqrt((x - 4)^2) =±sqrt( 36)
x-4 = ±6
Add 4 to each side
x-4+4 = 4±6
x = 4±6
x = 4+6 x = 4-6
x = 10 x = -2
