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3 years ago

ANSWER QUICK!! 75 PTS!!!

Mathematics

1 answer:

iogann1982 [59]3 years ago

4 0

Answer:

2) x = -2 , y = 2

3) no solution exists

Step-by-step explanation:

Solve the following system:

{-2 x - 3 y = -2

y = 2 x + 6

Hint: | Perform a substitution.

Substitute y = 2 x + 6 into the first equation:

{-2 x - 3 (2 x + 6) = -2

y = 2 x + 6

Hint: | Expand the left hand side of the equation -2 x - 3 (2 x + 6) = -2.

-2 x - 3 (2 x + 6) = (-6 x - 18) - 2 x = -8 x - 18:

{-8 x - 18 = -2

y = 2 x + 6

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for x:

{-8 x - 18 = -2

y = 2 x + 6

Hint: | Isolate terms with x to the left hand side.

Add 18 to both sides:

{-8 x = 16

y = 2 x + 6

Hint: | Solve for x.

Divide both sides by -8:

{x = -2

y = 2 x + 6

Hint: | Perform a back substitution.

Substitute x = -2 into the second equation:

Answer: {x = -2 , y = 2

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7 0

3 years ago

Which property was used to solve the given inequality?

Amiraneli [1.4K]

Subtraction Property of Inequality is used to solve the given inequality

Solution:

Given inequality is:

$y + 8 < - 8$

To solve the inequality, subtract 8 on both sides,

We know that,

Adding or subtracting the same quantity from both sides of an inequality leaves the inequality symbol unchanged

Also, by Subtraction Property of Inequality,

If you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well

$y + 8 < - 8\\\\\text{Subtract 8 from both sides of inequality }\\\\y + 8 - 8 < -8 - 8\\\\simplify,\\\\y$

Thus, Subtraction Property of Inequality is used

4 0

3 years ago

Consider the two expressions 4b(b+1) and (2b+7)(2b-8). Compare their values if b=-3, b=-2, and if b=10. Is it true that for an v

frutty [35]

Answer:

FIRST EXPRESSION:

- If $b=-3$ , the value of $4b(b+1)$ is $24$

- If $b=-2$ , the value of $4b(b+1)$ is $8$

- If $b=10$ , the value of $4b(b+1)$ is $440$

SECOND EXPRESSION:

- If $b=-3$ , the value of $(2b+7)(2b-8))$ is $-14$

- If $b=-2$ , the value of $(2b+7)(2b-8))$ is $-36$

- If $b=10$ , the value of $(2b+7)(2b-8))$ is $324$

Yes, for any value of "b" the value of the first expression is greater than the value of the second expression.

Step-by-step explanation:

Substitute the given values of "b" into each expression and evaluate.

- For the first expression $4b(b+1)$ , you get:

If $b=-3$ → $4(-3)(-3+1)=24$

If $b=-2$ → $4(-2)(-2+1)=8$

If $b=10$ → $4(10)(10+1)=440$

- For the second expression $(2b+7)(2b-8))$ , you get:

If $b=-3$ → $(2(-3)+7)(2(-3)-8)=-14$

If $b=-2$ → $(2(-2)+7)(2(-2)-8)=-36$

If $b=10$ → $(2(10)+7)(2(10)-8)=324$

You can observe that for any value of "b" the value of the first expression is greater than the value of the second expression.

7 0

3 years ago

The figures are similar. What is the value of x?

Citrus2011 [14]

Answer: The answer is 18

Step-by-step explanation:

The figures are the same shape, just one is longer. As you can see, the smallest side on the smaller figure is 3 inches. If you look at the larger figure, the smallest side is 6 inches. From this, you can see that you are supposed to multiply the lengths on the smaller figure by 2, to the lengths for the larger figure.

6 0

3 years ago

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Rectangle WXYZ with y axis

Gre4nikov [31]

Answer:

I dont understand comment on this and i can help you out

Step-by-step explanation:

7 0

3 years ago

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