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finlep [7]
3 years ago
9

(8,5); perpendicular to 2x - y = 7

Mathematics
1 answer:
k0ka [10]3 years ago
7 0

Answer:

brainliest plzzz

Step-by-step explanation:

2x - y = 7 is in standard form, and if it were slope-intercept form that would help you. I got the y term by itself:

y = 2x - 7 slope-intercept form. You already know the slope of the perpendicular line is the *negative reciprocal* of the slope you have. So that's (-1/2). The perpendicular line is something like

y = -(1/2)x + b and if you substitute 8 for x and 5 for y you get 9 for b.

y = -(1/2)x + 9 is your perpendicular line. In slope-intercept form. To get back to standard form, start by getting rid of fractions. Multiply both sides by 2.

2y = -x + 18 then add x to both sides.

x + 2y = 18 done.

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Resolver el siguiente sistema de ecuación:
snow_tiger [21]

Answer:

x=-1\\y=4

Step-by-step explanation:

\frac{5x+2y}{3}=1

\frac{2x+y}{2}=1

Vamos a utilizar el método de sustitución. Vamos a despejar la segunda ecuación por alguna de las variables. Elegiré la y porque esta sola.

\frac{2x+y}{2}=1

Vamos a empezar por eliminar ese 2 del denominador. Para hacer esto, multiplicamos por 2 ambos lados de la ecuación.

2x+y=1*2

2x+y=2

Como vamos a despejar la y, restamos 2x en ambos lados.

y=2-2x

Listo.

------------------------------------------------------------------------

Procedemos a reemplazar el valor de y en la primera ecuación.

\frac{5x+2y}{3}=1

\frac{5x+2(2-2x)}{3}=1

\frac{5x+4-4x}{3} =1

Procedemos a operar términos semejantes.

\frac{x+4}{3} =1

Nos deshacemos del 3 multiplicando.

x+4=1*3\\x+4=3

Restamos 4

x=3-4\\x=-1

-----------------------------------------------------------------------------

Una vez encontrado el valor de x, procedemos a reemplazar en cualquier ecuación para encontrar el valor de y. Usaré la segunda ecuación.

\frac{2x+y}{2}=1

\frac{2(-1)+y}{2}=1

Procedemos a resolver;

\frac{-2+y}{2} =1

Multiplicamos por 2.

-2+y=1*2

-2+y=2

Sumamos 2

y=2+2\\y=4

-------------------------------------------------------------------------------

Para comprobar que los valores son correctos, reemplazamos ambos valores en cualquier ecuación y el resultado debe ser igual.

Usaré la primera.

\frac{5x+2y}{3} =1

\frac{5(-1)+2(4)}{3} =1

Resolvemos;

\frac{-5+8}{3} =1

\frac{3}{3}=1

1=1

6 0
4 years ago
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