37. The absolute value symbol turns any negative number positive if it's within those brackets, so that's why the answer is positive. Hope this helped!
Step-by-step explanation:
Given:
2x−y=7
Matching given equation with the variables,
a=2
and
b=−1 .
Swap "a" and "b"
-x + 2y = 7
Because b is negative, let's change that one:
x + 2y = 7
Is perpendicular to
2x−y=7
. Here is a graph to prove it:
The red line is
2x−y=7
The blue line is
x+2y=7
If you want the perpendicular line to go through a given point, then make the constant term on the right a variable (for example k)
x+2y=k
Now lets make the perpendicular line go through the point
(1,1)
by substituting 1 for x, 1 for y and the solving for k:
1+2(1)=k
k=3
The equation of the line that perpendicular to
2x−y=7 and goes through the point
(1,1)is:
x+2y=3
Please mark me as brainleist.
let the number of adult tickets be x and the number of children tickets be y
3x + y = 164...equ(1)
2x + 3y = 174....equ(2)
multiplying equation 1 by 3
9x + 3y = 492
subtracting equation 2 from 1
7x = 318
x = 45.43 dollars
substituting the value of x into the equation
3(45.428) + y = 164
y = 164 - 3(45.428)
∴y = 27.71 dollars
