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2 years ago

15

How many solutions exist for the given equation?

2 answers:

faust18 [17]2 years ago

8 0

Answer:

$\Huge \boxed{\mathrm{infinite \ solutions}}$

Step-by-step explanation:

$\sf 12x + 1 = 3(4x + 1) - 2$

Using distributive property.

$\sf 12x + 1 = 12x+3 - 2$

$\sf 12x + 1 = 12x+1$

Subtracting 1 from both sides.

$\sf 12x=12x$

Dividing both sides by 12.

$\sf x=x$

All real numbers are solutions.

There are infinite solutions.

Tpy6a [65]2 years ago

4 0

Answer:

infinitely many

Step-by-step explanation:

12x + 1 = 3(4x + 1) - 2

Distribute

12x + 1 = 12x + 3 - 2

Combine like terms

12x+1 = 12x +1

Subtract 12x from each side

1 =1

Since this is always true, we have infinite solutions

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3 years ago

Enter your answer and show all the steps that you use to solve this problem in the space provided. Find the values of x and y.

satela [25.4K]

Answer : The value of x and y is, $90^o$ and $43^oC$

Step-by-step explanation :

First we have to calculate the angle B.

As we know that,

The given triangle is an isosceles triangle in which the angles opposite to equal sides are always equal.

Thus, $\angle B=\angle C$

Given : $\angle C=47^o$

$\angle B=\angle C=47^o$

$\angle B=47^o$

Now have to calculate the angle A.

As we know that the sum of interior angles of a triangle is equal to $180^o$ .

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$\angle A=180^o-94^o$

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Now we have to determine the angle y.

As we know that, line AD is an angle bisector. That means, it divides into two equal angles. So,

$\angle y=\frac{\angle A}{2}$

$\angle y=\frac{86^o}{2}$

$\angle y=43^o$

Now we have to determine the angle x.

As we know that the sum of interior angles of a triangle is equal to $180^o$ .

$\angle y+\angle B+\angle x=180^o$

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2 years ago