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Mila [183]
3 years ago
10

Can someone help me with this please

Mathematics
1 answer:
stellarik [79]3 years ago
7 0

Ok so we'll  go ahead and solve for y first -  we just need to get it alone on one side of the equal sign

Step 1: subtract 2x from each side

2x - 7y - 2x = 19 - 2x

This cancels out the 2x on the left, giving us

-7y = 19 - 2x

Step 2: divide both sides by -7

\frac{-7y}{-7} = \frac{19}{-7} + \frac{-2x}{-7}

This gives us

y = -19/7 + 2x/7

That should be your answer for the first question. Now solving the next parts are easy. All you need to do is plug in x.

When x = -3

y = -19/7 + 2x/7

y = -19/7 + 2(-3)/7

y = -19/7 - 6/7

y = -25/7


When x = 0

y = -19/7 + 2x/7

y = -19/7 + 2(0)/7

y = -19/7


When x = 3

y = -19/7 + 2x/7

y = -19/7 + 2(3)/7

y = -19/7 + 6/7

y = -13/7


Hope that helps! Feel free to ask if I can help with anything else :)

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For the function y=400-22x, what is the rate of change
dolphi86 [110]

Answer:

-22

Step-by-step explanation:

The function y=400-22x is a linear equation in the form y=mx + b. Although they put "mx" after "b" so the equation doesn't start with a negative.

"m" is rate of change, or the slope if graphed.

The negative means "y" decreases as "x" increases. On a graph, it decreases left to right.

8 0
3 years ago
Simultaneous equations 5x+y=28 x+y=2
ludmilkaskok [199]

Answer:

<h2>( \frac{13}{2}  \:,  -  \frac{9}{2} )</h2>

Step-by-step explanation:

5x + y = 28

x + y = 8

Solve the equation for y by moving 'x' to R.H.S and changing its sign

5x + y = 28

y = 2 - x

Substitute the given value of y into the equation 5x + y = 28

5x + 2 - x = 28

Solve the equation for x

Collect like terms

4x + 2 = 28

Move constant to R.H.S and change its sign

4x = 28 - 2

Subtract the numbers

4x  = 26

Divide both sides of the equation by 4

\frac{4x}{4}  =  \frac{26}{4}

Calculate

x =  \frac{26}{4}

Reduce the numbers with 2

x =  \frac{13}{2}

Now, substitute the given value of x into the equation y = 2 - x

y = 2 -  \frac{13}{2}

Solve the equation for y

y =  -  \frac{9}{2}

The possible solution of the system is the ordered pair ( x , y )

<h2>(x \: y) = ( \frac{13}{2} , \:  -  \frac{9}{2} )</h2>

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

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

5 \times  \frac{13}{2}  -  \frac{9}{2}  = 28

\frac{13}{2}  -  \frac{9}{2}  = 2

Simplify the equalities

28 = 28

2 = 2

Since , all of the equalities are true, the ordered pair is the solution of the system.

(x  \:, y \: ) = ( \frac{13}{2}  \: , -  \frac{9}{2})

Hope this helps....

Best regards!!

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