Which method would be the simplest way to solve the system?
y=1/2x
2x+3y=28
a. graphing
b. substitution***
c. elimination
d. distributive
yes
Well, solving systems of equations can be a real "systematic" challenge, but fear not, I'm here to lighten the mood!
If you want the simplest way to solve this particular system, I must say that the clown circus recommends option b: substitution! Why? Because it's like finding the perfect disguise for your equation.
All you need to do is take the value of y from the first equation, which is y = 1/2x, and substitute it into the second equation, replacing the y. That way, you'll have a single-variable equation that's easier to handle.
So instead of juggling with numerous variables, just give substitution a spin and see how it works!
The simplest way to solve the given system of equations would be by using the substitution method.
To determine the simplest way to solve the given system of equations, we will analyze each of the methods mentioned: graphing, substitution, elimination, and distributive.
a. Graphing: Graphing involves plotting the equations on a coordinate plane and finding the point where the two lines intersect, which represents the solution. However, this method may not always be the simplest, especially with more complex equations. It can be time-consuming and prone to inaccuracies.
b. Substitution: Involves solving one equation for one variable and substituting that expression into the other equation. This allows us to solve for the remaining variable. Substitution can be efficient, especially when one equation is already solved for a variable. This method involves some algebraic manipulation.
c. Elimination: Involves adding or subtracting the equations together in a way that eliminates one variable. By adding or subtracting the equations, one variable gets eliminated, making it easier to solve for the remaining variable. This method also requires algebraic manipulation.
d. Distributive: Distributive property is not a method for solving a system of equations. It is a property used for multiplying or distributing a value to the terms inside parentheses. Therefore, it is not applicable in this case.
Considering the given options, option b - substitution would be the simplest method to solve the system. It typically involves straightforward manipulations such as solving one equation for one variable and substituting that value into the other equation.