Question

Using complete sentences, explain which method you would use to solve the following system of equations and why you chose that method. Show your work and provide the solution to the system.
3x + 2y = 7
4x - 3y = -2

Answer 1

In this type of simultaneous equations, you would use the elimination method. That method allows you to remove one of the variables by manipulating the given equations and come up with an equation in a single variable. That can then be solved. Once you find the value of one of the variables, you can use any one of the given equations to find the value of the second variable. The combined values become the solution to these pair of simultaneous equations.

Answer 2

You can start by multiplying the first equation by 3 and the second equation by 2. That should give you two equations that can be added to eliminate y.

Answer 3

Would it be x=1 y=2?

Answer 4

x = 1 and y = 2 are correct!