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2 years ago

7

Explain how to solve a system of linear equations using the substitution method:)

1 answer:

kvv77 [185]2 years ago

4 0

Step-by-step explanation:

step 1 :first solve one linear equation for y in terms of x

step 2: then substitute that expression for y in the other linear equation

step 3 :solve this and you have the x-coordinate of the intersection

step 4: then plug in a to either equation to find the corresponding y -coordinate

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Problem<br> 1<br> + 10x + 13 = 4

lutik1710 [3]

Answer:

$x = -1$

Step-by-step explanation:

Equation: $1+10x+13=4$

Step 1: Balance both parts of the equation.

$1+10x+13=4$

$(10x)+(1+13)=4$

$10x+14=4$

$10x+14=4$

Step 2: Reduce 14 from both parts of the equation.

$10x+14-14=4-14$

$10x= -10$

Step 3: Split both sides by 10, because $\mathrn {10x = -10}$ .

$\frac{10x}{10} = \frac{-10}{10}$

$10 / -10 = -1$

Therefore, x = -1.

6 0

2 years ago

Calculate the arithmetic sequence in which a9=17 and the common difference is d=-2.1

jek_recluse [69]

Answer:

$S_{31}=71.3$

Step-by-step explanation:

The nth term of an arithmetic sequence is given by the formula,

$U_n=a_1+(n-1)d$

We were given that the 9th term is $17$ .

$\Rightarrow 17=a_1+(9-1)(-2.1)$

$\Rightarrow 17=a_1+(8)\times(-2.1)$

$\Rightarrow 17=a_1-\frac{84}{5}$

$\Rightarrow 17+\frac{84}{5}=a_1$

$\Rightarrow a_1=\frac{169}{5}$

The sum of the first n-terms is given by the formula,

$S_n=\frac{n}{2}(2a_1+(n-1)d)$

To find $S_{31}$ , we substitute $n=31$ , $a_1=\frac{169}{5}$ and $d=-2.1$ .

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(31-1)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(30)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(\frac{23}{5})$

$\Rightarrow S_{31}=\frac{713}{10}$

$\Rightarrow S_{31}=71.3$

The correct answer is D

8 0

3 years ago

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Vsevolod [243]

Answer:

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7 0

2 years ago

In the given figure, measure HK= 50° and measure GKL is 50° which statement is true?

Minchanka [31]

Answer: A

Step-by-step explanation:

The answer is a because the measure of angle KGH is 25 degrees since it is an inscribed angle. Angle GKJ is 130 degrees because angle GKL is 50 degrees. Therefore angle J is equal to 25 degrees which makes the triangle an isosceles triangle since angle J and angle KGH are equal to one another.

6 0

3 years ago

Two vertical angles will always equal 180 degrees

Margarita [4]

Answer:

Hi there!

Vertical angles are angles that are opposite each other when two lines intersect each other. The two pairs of opposite angles are equal to each other. The two pairs of neighboring angles are supplementary, meaning they add up to 180 degrees.

7 0

2 years ago