Use the elimination method to solve the system of equations?6x+2y=812x+y=22

The solution is: x=2, y=-2Step-by-step explanation:Given equations are:6x+2y=8         Eqn 112x+y=22       Eqn 2Multiplying Eqn 1 by 2[tex]2(6x+2y)=2(8)\\12x+4y=16[/tex]      Eqn 3Subtracting Equation 2 from eqn 3[tex]12x+4y-(12x+y)=16-22\\12x+4y-12x-y=-6\\3y=-6\\Dividing\ both\ sides\ by\ 3\\\frac{3y}{3}=\frac{-6}{3}\\y=-2[/tex]Putting y=-2 in eqn 2[tex]12x-2=22\\Adding\ 2\ on\ both\ sides\\12x-2+2=22+2\\12x=24\\Dividing\ both\ sides\ by\ 12\\\frac{12x}{12} = \frac{24}{2}\\x=2[/tex]The solution is: x=2, y=-2Keywords: Linear equations, Elimination MethodLearn more about elimination method at:brainly.com/question/9738996brainly.com/question/10015690#LearnwithBrainly