Q:

what is the solution to this system of linear equations2x+3y=3 and 7x-3y24

Accepted Solution

A:
For this case we have a system of two equations with two unknowns:[tex]2x + 3y = 3\\7x-3y = 24[/tex]We follow the steps below:We add the equations:[tex]9x = 27[/tex]We divide between 9 on both sides of the equation:[tex]x = \frac {27} {9}\\x = 3[/tex]We substitute the value of "x" in the first equation and find the value of y:[tex]2 (3) + 3y = 3\\6 + 3y = 3\\3y = 3-6\\3y = -3\\y = \frac {-3} {3}\\y = -1[/tex]Thus, the solution of the system is: (3, -1)Answer:(3, -1)