Q:

For the solution (x, y) to the system of equations, what is the value of x − y?7x + 3y = 86x − 3y = 5A) −43B) 23C) 43D) 223

Accepted Solution

A:
Answer:x = 1        y = 1/3Step-by-step explanation:STEP 1)  get the equations to equal each other7x + 3y = 8             6x - 3y = 5- 7x                              - 6x3y = 8 - 7x              -3y = 5 - 6x      *1                              *-13y = 8 - 7x       =       3y = -5 + 6xSTEP 2)  solve for x8 - 7x = 6x - 5       +7x8 = 13x - 5       +513 = 13x     /131 = xSTEP 3)  use x to solve for y7x + 3y = 8        =7 + 3y = 8       -73y = 1   /3y = 1/3