WHY IS THERE ANY HELP? PLEASE Solve the system of equations by using the substitution method. \left \{ {{x+y=6} \atop {x=2y}} \right. Is there a solution, no solution, or infini…

Question

WHY IS THERE ANY HELP? PLEASE Solve the system of equations by using the substitution method.
`\left \{ {{x+y=6} \atop {x=2y}} \right.` Is there a solution, no solution, or infinite number? If there's a solution, what's the ordered pair?

Answer 1

There is a solution. The ordered pair is (4, 2).

Explanation:

Solve the system of equations by using the substitution method.

`x+y=6\\x=2y`

Substitute x as 2y in the first equation and solve for y.

`2y+y=6\\ 3y=6\\(3y)/3=6/3\\y=2`

Substitute y as 2 in the second equation and solve for x.

`x=2(2)\\x=4`