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2 years ago

2x-3y=7 and y=3x-7 how do you solve this using subsitution

1 answer:

4 0

$2x-3y = 7~~~....(i)\\\\y = 3x -7~~~....(ii)\\\\\\\text{Substitute}~ y = 3x -7~ \text{in equation (i):}\\\\\\2x-3(3x-7) = 7\\\\\implies 2x -9x + 21 =7\\\\\implies -7x = 7 -21\\\\\implies -7x = -14\\\\\implies x = \dfrac{-14}{-7} = 2\\\\\\\text{Substitute x = 2 in equation (ii):}\\\\y=3(2) -7 = 6 -7 = -1\\\\\\\text{Hence (x,y) =(2,-1)}$

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Simplest form 3/8 4/5

enyata [817]

Simplies form of 3/8 is 1/4

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3 years ago

What is the equation of the line of the best fit for the following data? Round to the slope and y-intercept of the line to three

BigorU [14]

Answer:

D. $y=-0.927x+13.634$

Step-by-step explanation:

We graph the points on the graph. The graph is attached.

Let us take two points (1, 14) and (15, 1), and calculate the slope $m$ between them <em>(we choose these points because the line passing through them will be the best fit for all points) </em>

$m=\frac{14-1}{1-15} =\frac{13}{-14} =-0.9286$

Thus we have the equation

$y=-0.9286x+b$

Let us now calculate $b$ from the point $(1,14)$

$14=-0.9286(1)+b$

$b=14.9286$

So the equation we get is

$y=-0.9286x+14.9286$

Let us now turn to the choices given and see which choice is closest to our equation: we see that choice D. $y=-0.927x+13.634$ is the closest one, so we pick it.

4 0

3 years ago

$4.50 plus $3.60 per mile. Patrick paid $28.80 to ride a shuttle bus into the city. How many miles did Patrick ride on the shutt

BigorU [14]

<u>I'm very sorry but i don't know the answer to this queshtion</u>

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3 years ago

Describe and correct the error a student made when graphing y+5=-3/4(x-8).

Elis [28]

In step 1 the y-intercept should be plotted at (0,-6)
Step-by-step explanation:
Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.
Since the formula is y = -3/4x -6
We just insert a 0 insted of the "x"
y = -3/4(0) -6
y=0-6
y=6
So the y-intercept sould be placed in (0,-6)
That's what he did wrong when graphing the equation.

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3 years ago

Una página de plástico diseñada para guardar cromos puede contener hasta 9 cartas. ¿Cuántas páginas se necesitarán para almacena

adelina 88 [10]

Esto significa que debemos tener 58 páginas de plástico para contener las 517 tarjetas.´

<h3>¿Cuántas páginas se necesitarán para almacenar 517 tarjetas? </h3>

Sabemos que cada página puede almacenar hasta 9 cartas.

Entonces queremos ver cuantos grupos de 9 cartas hay en el conjunto de 517, para ver esto tomamos el cociente entre 517 y 9.

N = 517/9 = 57.44

Y no podemos tener un numero racional, así que debemos redondear al proximo número entero, que es 58.

Esto significa que debemos tener 58 páginas de plástico para contener las 517 tarjetas.

Sí quieres aprender más sobre cocientes:

brainly.com/question/3493733

#SPJ1

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1 year ago