Answer :
He traveled 7.2 hours towards his grandfather house and took him 4.8 hours to return.
Define substitution method.
The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies. The substitution method can be used to algebraically solve a linear problem. The one y-value in the replacement procedure is replaced with the other. We'll give an example to illustrate this. Since y = y, we may replace y in the second equation with y from the first equation.
Given,
We set
x as the travel time John took to reach his uncle's house,
y as the travel time John took to return from his uncle's house.
So,
x + y = 12 ...(1)
Equating velocities,
24x = 36y
x = 3/2 y
Substituting in equation (1), using substitution method
3/2 y + y = 12
[tex]\frac{3y +2y}{2}[/tex]
5y = 12 (2)
y = 4.8
Substituting in equation (1)
x = 12 - 4.8
x = 7.2
He traveled 7.2 hours towards his grandfather house and took him 4.8 hours to return.
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