Estimate the solution to the system of equations.2x+3y=6-4x+3y=12

The solution is:[tex]x=-1, y=2\frac{2}{3}[/tex]Step-by-step explanation:Given2x+3y=6     Eqn 1-4x+3y=12     Eqn 2Subtracting equation 2 from equation 1[tex]2x+3y-(-4x+3y)=6-12\\2x+3y+4x-3y=-6\\6x=-6\\Dividing\ both\ sides\ by\ -6\\\frac{6x}{6}=\frac{-6}{6}\\x=-1[/tex]Putting x=-1 in equation 1[tex]2x+3y=6\\2(-1)+3y=6\\-2+3y=6\\3y=6+2\\3y=8\\Dividing\ both\ sides\ by\ 3\\\frac{3y}{3}=\frac{8}{3}\\y=2\frac{2}{3}[/tex]The solution is:[tex]x=-1, y=2\frac{2}{3}[/tex]Keywords: Linear equationsLearn more about linear equations at:brainly.com/question/2455974brainly.com/question/2456302#LearnwithBrainly