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3 years ago

Solve the system of equations by adding. checking your answer

Mathematics

1 answer:

Brut [27]3 years ago

3 0

Answer:

Step-by-step explanation:

This is very easy, because the coefficients of the y terms are 2 and -2. You can easily eliminate the y terms by adding the equations together:

2x + 2y = 2

3x - 2y = 43

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

5x + 0y = 45, so x = 9

Use the value of x to solve for y:

2(9) + 2y = 2

y = -8

(x,y) = (2, -8)

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Kelly has 45 cookies. she plans on bringing 2/3 of the cookies to school to share with her class. how many cookies will she not

Svetllana [295]

If she is bringing 2/3 to school, then she is not bring 1/3
1/3 (45) = 45/3 = 15.....so she is not bringing 15 cookies

or u can do it this way...
she is bringing 2/3...
2/3(45) = 90/3 = 30 ....she is bringing 30
45 - 30 = 15....not bringing 15.

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3 years ago

What is 25/30 in simplest form?

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3 years ago

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At 5:00 am a ship leaves the dock and heads out to sea. It travels at a rate of 30 mph. At 7:00

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Answer:

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Step-by-step explanation:

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3 years ago

Write the equation of a line that is perpendicular to the given line and that passes through the given point.

katrin2010 [14]

Greetings and Happy Holidays!

<span>1) Perpendicular to </span> $-x+5y=14$
In order for lines to be perpendicular, their slopes must be negative reciprocals.
Example of slopes with negative reciprocals: 5 and $\frac{-1}{5}$

First, rearrange the equation into slope y-intercept form:
$-x+5y=14$

$5y=x+14$

$\frac{5y}{5}=\frac{x+14}{5}$

$y=\frac{1}{5}x+\frac{14}{5}$

The slope of the equation is: \frac{1}{5}

The negative reciprocal formula: $(m_{1})(m_{2})=-1$

Solve for the negative reciprocal:
$\frac{1}{5}m_{2}=-1$

Divide both sides by $\frac{1}{5}$
$\frac{\frac{1}{5}m_{2} }{ \frac{1}{5}} = \frac{-1}{ \frac{1}{5}}$

$m_{2}=(-1)(\frac{5}{1})$

$m_{2}=(\frac{-5}{1})$

$m_{2}=-5$

The slope of the new line is: -5

2) Passes through (-5,-2)

Create an equation with the slope discovered in slope y-intercept form.
$y=-5x+b$

Input the point the line passes through.
$(-2)=-5(-5)+b$

Solve for b (the y-intercept).
$-2=-5(-5)+b$

Multiply.
$-2=25+b$

Add -25 to both sides.
$(-2)+(-25)=b$

$-27=b$

The y-intercept is equal to -27

The Equation of the line is:
$y=-5x-27$

I hope this helped!
-Benjamin

6 0

4 years ago