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## InsanelyChaotic 2 years ago There is no solution to the system below. x + 3y = 7 2x + 6y = 9 True False

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1. timo86m

sove the system by your favorite method :)

2. timo86m

and then you'll see if there is no solution

3. InsanelyChaotic

I got TRUEEEEEEEEEEEEEEEE

4. timo86m

I dont think so :(

5. InsanelyChaotic

oops:(((

6. timo86m

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.

7. yakeyglee

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.

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