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3 years ago

Use substitution to solve the following system of equations. 2x + 4y = 12 AND x=y - 3

Mathematics

1 answer:

Kamila [148]3 years ago

8 0

Answer:

The solution is (0, 3)

Step-by-step explanation:

First, reduce 2x + 4y = 12 to x + 2y = 6, for easier calculations.

Next, substitute y - 3 for x in the other equation:

y - 3 + 2y = 6, or

3y = 9

Then y = 3. Since x = y - 3 in general, x = 3 - 3 = 0 when y = 3.

The solution is (0, 3)

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The equation of the line WX is 2X plus Y equals -5 what is the equation of a line perpendicular to line WX in slope intercept fo

tensa zangetsu [6.8K]

Answer:

$y = \frac{1}{2}x - \frac{3}{2}$

Step-by-step explanation:

The equation of the line WX is, 2x + y = - 5

⇒ y = - 2x - 5 .......... (1)

This equation is in slope-intercept form and the slope is - 2 and the y-intercept is - 5.

Now, if a line perpendicular to equation (1) having slope m then, m × (- 2) = - 1

⇒ $m = \frac{1}{2}$

{Since the product of slopes of two mutually perpendicular straight line is - 1}

Therefore, the equation of the perpendicular line is

$y = \frac{1}{2}x + c$ , where c is a constant and we have to find it.

This above line passes through the point (-1,-2) and hence

$- 2 = \frac{1}{2}(- 1) + c$

⇒ $c = - \frac{3}{2}$

Therefore, the equation of the line will be $y = \frac{1}{2}x - \frac{3}{2}$ (Answer)

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3 years ago

Look at the graph and choose the correct answer.

RideAnS [48]

So it’s -3 and the second one is +4

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3 years ago

One less than five times a number is fewer than twenty-four

Lana71 [14]

1 - 5x < 24

Hope this helps you

Brainliest would be appreciated

-AaronWiseIsBae

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3 years ago

Read 2 more answers

Can this be simplified?

liraira [26]

No Nothing Further Can Be Done

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3 years ago

Read 2 more answers

The value of x and y of given equation by using cramer's rule; 2x-y=5, x-2y=1

Firdavs [7]

Answer:

x=3 and y=1

Step-by-step explanation:

First find the deteminant

That is ad-bc

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3 years ago