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3 years ago

Solve the system of equations by the substitution method.

Mathematics

1 answer:

viva [34]3 years ago

5 0

Answer:

A. (2, -1)

Step-by-step explanation:

(4x - 9) - x = -3

3x - 9 = - 3

3x = 6

x = 2

y = 4(2) - 9

y = 8 -9

y = - 1

(2, -1)

Check

-1 - 2 = -3

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3(x-4)=2x-7+x which one A. Infinitesolutions B.x=0 C.x=3 D.x=-2 E.x=-3

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Need Help Asap). A line goes through the points (8,9) and ( -2,4). A) what is the slope of the line? Show your work. B) Write th

qaws [65]

Let's see what to do buddy...

_________________________________

We have following equation for finding the slope of the lines using two points :

$slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\$

Where a and b are the points which the line through them.

_________________________________

A = ( 8 , 9 )

B = ( -2 , 4 )

Now just put the coordinates in the above equation :

$slope = \frac{4 - 9}{ - 2 - 8} = \frac{ - 5}{ - 10} = \frac{1}{2} \\$

_________________________________

The answer is :

$slope = \frac{1}{2} \\$

_________________________________

First we must choose one of the A or B points.

I choose : B = ( -2 , 4 )

We need using the following equation:

$y - y(b) = (slope) \times ( \: x - \: x(b) \: ) \\$

$y - 4 = \frac{1}{2}(x + 2) \\$

It's the point-slope form of the line..

_________________________________

We just need to simplifies the above equation to find the slope-intercept form.

Look :

$y - 4 = \frac{1}{2}(x + 2) \\$

$y - 4 = \frac{1}{2}x + 1 \\$

Both sides plus 4

$y = \frac{1}{2}x + 1 + 4 \\$

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

It's the slope-intercept form of the line.

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

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3 years ago