Q:

How to solve for 3x y=23 3x-2y=8

Accepted Solution

A:
Answer:{x,y} = {6,5} Step-by-step explanation: 3x + y = 23       3x - 2y = 8  Solve by Substitution : // Solve equation [1] for the variable  y       y = -3x + 23 // Plug this in for variable  y  in equation      3x - 2•(-3x+23) = 8      9x = 54 // Solve equation [2] for the variable  x         9x = 54     [    x = 6  // By now we know this much :    x = 6    y = -3x+23 // Use the  x  value to solve for  y      y = -3(6)+23 = 5  Solution : {x,y} = {6,5}