How do you find the point of intersection using these to equations?
x=-2y-3
4y-x=9
x=-2y-3
4y-x=9
Notice that we can substitute the first thing into the second....this gives
4x - (-2y - 3) = 9 simplify
6y + 3 = 9 subtract 3 from both sides
6y = 6 divide both sides by 6
y = 1 and subtituting this back into x = -2y - 3 , we find that x = -2(1) - 3 = -5
So our answer is x = -5 and y =1
$$\underset{\,\,\,\,{\textcolor[rgb]{0.66,0.66,0.66}{\rightarrow {\mathtt{x, y}}}}}{{solve}}{\left(\begin{array}{l}{\mathtt{x}}={\mathtt{\,-\,}}{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{y}}{\mathtt{\,-\,}}{\mathtt{3}}\\
{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{y}}{\mathtt{\,-\,}}{\mathtt{x}}={\mathtt{9}}\end{array}\right)} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{5}}\\
{\mathtt{y}} = {\mathtt{1}}\\
\end{array} \right\}$$
x=-2y-3
4y-x=9
Notice that we can substitute the first thing into the second....this gives
4x - (-2y - 3) = 9 simplify
6y + 3 = 9 subtract 3 from both sides
6y = 6 divide both sides by 6
y = 1 and subtituting this back into x = -2y - 3 , we find that x = -2(1) - 3 = -5
So our answer is x = -5 and y =1
Wow.....thanks h7....I didn't even know you could do that on this calculator!!....did you figure that out just fooling around with it ????
No....I just answered.....I don't know what this calc can do......now you know!
$$\underset{\,\,\,\,{\textcolor[rgb]{0.66,0.66,0.66}{\rightarrow {\mathtt{x, y}}}}}{{solve}}{\left(\begin{array}{l}{\mathtt{x}}={\mathtt{\,-\,}}{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{y}}{\mathtt{\,-\,}}{\mathtt{3}}\\
{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{y}}{\mathtt{\,-\,}}{\mathtt{x}}={\mathtt{9}}\end{array}\right)} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{5}}\\
{\mathtt{y}} = {\mathtt{1}}\\
\end{array} \right\}$$!