Question

hallar el punto de unión de las retas y=x+2 e y=-2x+6

Answer 1

$\huge \mathbb{RESPUESTA:}$

$\boxed{\color{blue}{\bold{\Large \Bigg( \frac{4}{3} , \frac{10}{3} \Bigg)}}}$

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$\huge \mathbb{SOLUCIÓN:}$

Solve for x

$\begin{cases} \Large \tt y=x+2 \\ \Large \tt y=-2x+6 \end{cases}$

$\large \tt x+2=-2x+6$

$= \large \tt x+2x=6-2$

$= \large \tt 3x=4$

$= \large \tt \frac{3x}{3}= \frac{4}{3}$

$= \blue{\bold{\Large x= \frac{4}{3}}}$

Solve for y

$\large \tt y=x+2$

$= \large \tt y= \frac{4}{3} +2$

$= \large \tt y= \frac{4+6}{3}$

$= \blue{\bold{\Large y= \frac{10}{3}}}$

Intersection:

$\boxed{\color{blue}{\bold{\Large (x,y)= \Bigg( \frac{4}{3} , \frac{10}{3} \Bigg)}}}$