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2 years ago

Witch order pair is a solution -2x+6y=16. -4x-3y=2

Mathematics

1 answer:

Bezzdna [24]2 years ago

7 0

Answer:

The ordered pair solution is (-2,2)

Step-by-step explanation:

Here, we want to get the ordered pair solution to the system of linear equations

From the first equation, we can have it that;

-2x = 16-6y

Now, we can substitute this into the second equation as follows;

From; -4x -3y = 2

2(-2x) - 3y = 2

2(16-6y) - 3y = 2

32 - 12y - 3y = 2

32-15y = 2

-15y = 2-32

-15y = -30

y = -30/-15

y = 2

Recall;

-2x + 6y = 16

substitute for the value of y

-2x + 6(2) = 16

-2x + 12 = 16

-2x = 16-12

-2x = 4

x = 4/-2

x = -2

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2 years ago

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Answer:

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3 years ago

Which is a solution to (x – 3)(x + 9) = –27? x = –9 x = –3 x = 0 x = 6

likoan [24]

Answer:

x = 0

Step-by-step explanation:

Since the product is not equal zero, we need to multiply both parenthesis first:

$(x-3)(x+9) =-27$

$x*x+x*9+(-3)*x+(-3)*9=27$

$x^2+9x-3x-27=27$

$x^2+6x-27=27$

Add 27 from both sides:

$x^2+6x-27+27=-27+27$

$x^2-6x=0$

Factor $x$ out:

$x(x+6)=0$

Apply the zero product:

$x=0,x+6=0$

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The solutions of the equation are $x=0$ and $x=-6$ .

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2 years ago

Write the formula for the volume of a square prism, V = s-h, in terms of h. Then find the height h of a square prism with volume

vodomira [7]

Answer:

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Step-by-step explanation:

Volume of prism in terms of h (height):

$V = \frac{1}{3}s^2h$

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$3V = s^2h$

Divide both sides by s^2

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$\frac{3V}{s^2} = h$

$h = \frac{3V}{s^2}$

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$h = \frac{3(60)}{6^2}$

$h = \frac{180}{36}$

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3 years ago