ccss.hsa.rei.c.6.q.a1.sle.17 - Here is a system of equations. 2x - y = 16 x + 2y = 8. Solve the system by graphing the equations (by hand or using technology). Explain how you could tell, without graphing, that there is only one solution to the system.

Sangeetha Pulapaka (last edited 2 years ago) (Expert, Educator @Qalaxia)

These are the set of equations

2x - y = 16 \rightarrow equation 1

x + 2y = 8 \rightarrow equation 2

The coefficients of both the x-variables and the coefficients of both the y-variables are different. The coefficient of the x-variable in the equation 1 is 2, and the coefficient for the y variable in the equation 1 is -1. The coefficient of the x-variable in the equation 2 is 1, and the coefficient of the y-variable in the equation 2 is 2.

The constant ( the number without a variable ) can be the same or different.

Such system of equations have only one solution to them.

Skills you may want to recall:

What is a variable and a constant

https://www.youtube.com/watch?v=oD9hiiQNZ4c