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3 years ago

Solve the system by the elimination method. 6x + 2y = -16 -x - 3y = -16

Mathematics

2 answers:

LenKa [72]3 years ago

7 0

the answer is (5,7) to this question

tamaranim1 [39]3 years ago

6 0

Answer:

y=7 x= -5

Step-by-step explanation:

You must eliminate on of the variables. Choosing x is easier because you only have to multiply -x - 3y = -16 by 6

6(-x - 3y = -16)

-6x - 18y = -96

Then you want to add the equations

6x +2y = -16

+ -6x - 18y = -96

-16y=-112

divide the -16 to get y by itself

y=7

To get the value of x, plug in the value of y into one of the equations and solve for x

-x-3(7)=-16

-x-21=-16

+21

-x= 5

-x=5/ -1

x=-5

I hope it helps!

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write an equation in slope intercept form for the line described. perpendicular to y = -1/2x + 2/3, passes through (2,3)

Alex17521 [72]

Step-by-step explanation:

Hey there!

Follow the steps to get answer.

Use one point formula and find 1st equation.
After that you find the slope of second equation.
Use the condition of perpendicular lines and find the slope of first equation.
Put slope value of equation in equation (i) and simplify them to get equation.

The equation of a line passing through point (2,3) is;

(y-3)= m1(x-2).......(i).

Another equation is;

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

2nd equation..

Now, From equation (ii)

We have;

Comparing equation (ii) with y = mx+c.

We get;

Slope = -1/2.

For perpendicular lines,

$m1 \times m2 = - 1$

$m1 \times \frac{ - 1}{2} = - 1$

Therefore the slope is 2.

Put value of slope (m1) in equation (i). We get;

$(y - 3) = 2(x - 2)$

Simplify them to get equation.

$(y - 3) = 2x - 4$

$y = 2x - 1$

Therefore the required equation is y = 2x-1.

Hope it helps..

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3 years ago

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bonufazy [111]

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2 years ago

96=-8k solve Show work

larisa86 [58]

Answer:

$k = -12$

Step-by-step explanation:

Step 1: Divide both sides by -8

$96 / -8 = -8k / -8$

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Answer: $k = -12$

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3 years ago

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kow [346]

Answer:

h = 84

Step-by-step explanation:

3 = 87 - h

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3 years ago

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creativ13 [48]

Answer:

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Step-by-step explanation:

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3 years ago

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