Question

There is no solution to the system below.

x + 3y = 7
2x + 6y = 9

True
False

Answer 1

sove the system by your favorite method :)

Answer 2

and then you'll see if there is no solution

Answer 3

I got TRUEEEEEEEEEEEEEEEE

Answer 4

I dont think so :(

Answer 5

oops:(((

Answer 6

here is another method since this is a simple 2 equations and 2 variables
x + 3y = 7
2x + 6y = 9

solve each equation for y

y = -(1/3)*x+7/3
y = -(1/3)*x+3/2

as you can see it will be in the y=mx + b form

the m aka slopes are the same. which means they dont meet ever. and the bs are different.

therefore no solution. When Ms are same and Bs are different.

Answer 7

If you're familiar with determinants, you can calculate \[\begin{vmatrix} 1 & 3 \\ 2 & 6\end{vmatrix} = (1)(6)-(3)(2) = 0,\] so there is no solution.