Part 1: Explain, in complete sentences, how you would use the elimination method to solve the following system of equations. (4 points) Part 2: Provide the solution to the system. (2 points)

5x – 9y = –16
2x + 6y = –16

Question

Part 1: Explain, in complete sentences, how you would use the elimination method to solve the following system of equations. (4 points) Part 2: Provide the solution to the system. (2 points)

5x – 9y = –16
2x + 6y = –16

anonymous · Answer

Part 1:
To eliminate the y-variable, multiply the top equation by 2 and the bottom equation by 3.  This will make the coefficient for y opposites.  Now, form a linear combination of the two altered equations containing only the variable x.  Now that the equation has a single variable you can solve as any other.  Once you have a solution for x, you can back-substitute that x-value into any equation that has a y-variable.  Now solve that equation for y.
(Part 2 on next post)

anonymous · Answer

|dw:1317000915857:dw|solving for y continued on next post