Question

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Given the following system of equations:
3x +2y=4
4x+3y=7
1. To solve the system algebraically, which method would
you select (substitution or elimination) and why?
2. Find the solution to the system algebraically using your
method of choice.
3. Check your solution by plugging it into each equation
OR by graphing the system.
You may start your response with:
• The method that was selected to solve the system

Answer 1

The elimination method is selected to solve the system of equations algebraically.

Step-by-step explanation:

The method that was selected to solve the system of equations is elimination. This method involves adding or subtracting the equations to eliminate one of the variables. In this case, we can eliminate the x variable by multiplying the first equation by 4 and the second equation by 3 to make the coefficients of x the same.

After multiplying the equations, we can subtract the second equation from the first equation to eliminate the x variable. This gives us a new equation: -5y = -9.

Next, we can solve this equation to find the value of y. Finally, we can substitute the value of y back into one of the original equations to find the value of x.

Learn more about Solving a system of equations algebraically