Q:

Solve the system of equations using the substitution method.{y=−3x+7x=−2y−16Enter your answers in the boxes.x=y=

Accepted Solution

A:
ANSWER[tex]x = 6[/tex][tex]y = - 11[/tex]EXPLANATIONThe given system of equations is [tex]y = - 3x + 7...(1)[/tex]and[tex]x = - 2y - 16...(2)[/tex]We substitute equation (1) into equation (2) to get;[tex]x = - 2( - 3x + 7) - 16[/tex][tex]x = 6x - 14- 16[/tex]We group similar terms[tex]x - 6x = - 14 - 16[/tex][tex] - 5x = - 30[/tex]Divide both sides by -5.[tex]x =6[/tex]Put x=6 into equation (1).[tex]y = - 3(6) + 7[/tex][tex]y = - 18 + 7[/tex][tex]y = - 11[/tex]