Question

Not all systems will have convenient coefficients, and you may need to multiply one or both equations by a factor that will produce coefficients of the same variable that are additive inverses, or opposites.

5. Consider solving the following system with the addition method.

3x + 2y = 5

- 2x + 5y = - 16  

a. Identify which variable you wish to eliminate. Multiply the appropriate equation by the appropriate factor so that the coefficients of your chosen variable are opposite.

Show the two equations after you multiply by the factor. (Remember to multiply both sides of the equation by the factor.)

b. Add the two equations to eliminate the chosen variable.

c. Solve the resulting linear equation.

d. Determine the complete solution. Remember to check by substituting into both of the original equations.

Answer 1