Q:

Solve the system.2x+y = 3-2y = 14 - 6x

Accepted Solution

A:
Answer:The solution is: (2, -1)Step-by-step explanation:First we rewrite the second system equation[tex]-2y = 14 - 6x[/tex] Β  β†’ Β  [tex]6x-2y=14[/tex]Now we have the following system of equations:[tex]2x+y = 3[/tex][tex]6x-2y=14[/tex]To solve the system multiply the first equation by -3 and add it to the second equation[tex]-6x+-3y = -9[/tex][tex]6x-2y=14[/tex]--------------------------------------[tex]0-5y=5[/tex][tex]y=-1[/tex]Now we substitute the value of y in the first equation and solve for x[tex]2x-1 = 3[/tex][tex]2x= 4[/tex][tex]x= 2[/tex]The solution is: (2, -1)