Sundar used linear combination to solve the system of equations shown. He did so by multiplying the first equation by 5 and the second equation by another number to eliminate the y-terms. What number did Sundar multiply the second equation by?

@wio @iambatman @dtan5457 @Loser66

Question

Sundar used linear combination to solve the system of equations shown. He did so by multiplying the first equation by 5 and the second equation by another number to eliminate the y-terms. What number did Sundar multiply the second equation by?

@wio @iambatman @dtan5457 @Loser66

anonymous · Answer

attachment

loser66 · Answer

$\begin{cases}2x+9y=41\3x+5y=36\end{cases}$

loser66 · Answer

5*the first equation, that is 5*(2x +9y=41), show me what you get?

anonymous · Answer

For x or y?

anonymous · Answer

Can someone please help me finish this?

anonymous · Answer

Multiply both sides by $5$:$$
2x +9y=41 \implies 5\times (2x +9y)=5\times (41)\implies 10x+45y=205 
$$

anonymous · Answer

You multiplied the top equation with the coefficient of $y$ in the second equation: $$
3x+\color{red}5y=36
$$So now you want to multiply the second equation with the coefficient of $y$ in the top equation: $$
2x+\color{red}9y=41
$$which is $9$.

anonymous · Answer

5?

anonymous · Answer

So what do you get when you multiply the bottom equation by 9?

anonymous · Answer

Do the equation? What's x? Or did you want me to multiply 41 and 9? @wio