Another way to write this is:
x = 23y + 5
xy = 6732
Now plug in the first equation into the second:
(23y + 5)y = 6732
23y^2 + 5y - 6732 = 0
Either use quadratic equation or factor:
(y - 17)(23y + 396) = 0
y = 17 or -396/23
You know you can automatically eliminate the second y because it's negative and you need the two integers to multiply to a positive number (6732).
Plug y = 17 back into either equation (second might be easier):
17x = 6732
x = 396
Answer:
0.93
Step-by-step explanation:
Answer:
37+x+53 = 180
x=90
Step-by-step explanation:
To find x, we need to use the fact that a straight line equals 180 degrees.
37+x+53 = 180
Combining like terms
90+x = 180
Subtract 90 from each side
90-90+x = 180-90
x = 90
Answer: 50 yards by 25 yards
Step-by-step explanation:
rink is also a rectangle
perimeter= 150 yards
length= 2x
width=x
the perimeter of rink is:
p=2(length + width)
150=2(2x + x)
150= 2(3x)
150= 6x
x=150 / 6
x=25
so width is 25 yards and length is twice the width which is 2x
length= 2× 25
length= 50 yards
so the dimension is 50 yards by 25 yards
