Answer:
(2,4) is a solution to this system of equations
Step-by-step explanation:
Given system of equation are


To find the solution of the given system of equations
To Check that (2,4) is a solution to this system or not
Solving equations (1) and (2)
From equation (1) and y=2x
Now substitute y=2x is equation (2)






10-5x=0
-5x=-10

Substitute x=2 in equation (1)
y=2x
y=2(2)
Therefore y=4
Therefore the solution is (2,4)
Therefore (2,4) is a solution to the system of equations.
To determine the equation of the line, we use the point slope form equation for this problem. It is expressed as:
y - y1 = m(x - x1)
We substitute the given values in the problem to the equation.
y - 2 = -5(x - 2)
y = -5x +10+2
y = -5x +12
The slide costs $2 each time you ride. $15/2 = 7.5 so you can ride it 7 times.