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3 years ago

3х + y = 13 4x - 3y = 13 SOLVE using Elimination please show work !!

Mathematics

2 answers:

ipn [44]3 years ago

8 0

Answer:

value of x= 4 and value of y =1.

LekaFEV [45]3 years ago

6 0

Answer:

x = 4

y - 1

Step-by-step explanation:

(3 x 4) + 1 = 13

(4 x 4) - (3 x 1) = 13

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Find the x value for the point that divides the lines segment AB into ratio of 2:3

m_a_m_a [10]

Let $(x_A,y_A),\ (x_B,y_B)$ be the coordinates of the points A and B and $(x_0,y_0)$ be the coordinates of the point O that divides the segment AB in ratio 2:3.

Consider vectors

$\overrightarrow{AO}=(x_0-x_A,y_0-y_A),\\ \\\overrightarrow{OB}=(x_B-x_0,y_B-y_0).$

These vectors are collinear and

$\dfrac{\overrightarrow{AO}}{\overrightarrow{OB}}=\dfrac{2}{3}.$

Then

$\left\{\begin{array}{l}\dfrac{x_0-x_A}{x_B-x_0}=\dfrac{2}{3}\\ \\\dfrac{y_0-y_A}{y_B-y_0}=\dfrac{2}{3}\end{array}\right.\Rightarrow \left\{\begin{array}{l}3(x_0-x_A)=2(x_B-x_0)\\ \\3(y_0-y_A)=2(y_B-y_0)\end{array}\right..$

This means that

$\left\{\begin{array}{l}3x_0-3x_A=2x_B-2x_0\\ \\3y_0-3y_A=2y_B-2y_0\end{array}\right.\Rightarrow \left\{\begin{array}{l}5x_0=2x_B+3x_A\\ \\5y_0=2y_B+3y_A\end{array}\right..$

Thus,

$x_0=\dfrac{2x_B+3x_A}{5},\ y_0=\dfrac{2y_B+3y_A}{5}.$

Answer: $\left(\dfrac{2x_B+3x_A}{5},\dfrac{2y_B+3y_A}{5}\right).$

8 0

4 years ago

Read 2 more answers

Select the correct answer:

OleMash [197]

D is the correct answer

8 0

2 years ago

Solve this equation 4log√x - log 3x =log x^2

ruslelena [56]

Answer:

$x = \frac{1}{3}$

Step-by-step explanation:

*Move terms to the left and set equal to zero:

4㏒(√x) - ㏒(3x) - ㏒(x²) = 0

*simplify each term:

㏒(x²) - ㏒(3x) - ㏒(x²)

㏒(x²÷x²) -㏒(3x)

㏒(x²÷x² / 3x)

*cancel common factor x²:

㏒( $\frac{1}{3x}$ )

*rewrite to solve for x :

10⁰ = $\frac{1}{3x}$

1 = $\frac{1}{3x}$

1 · x = $\frac{1}{3x}$ · x

1x = $\frac{1}{3}$

*that would be our answer, however, the convention is to exclude the "1" in front of variables so we are left with:

x = $\frac{1}{3}$

5 0

3 years ago

Explain how to use the distributive property to create an expression that is equivalent to 2b + 5b

yuradex [85]

Answer:7b

Step-by-step explanation:

2b+5b

3 0

3 years ago

In a math chapter, students took two quizzes: Quiz A and Quiz F. Quiz A was fairly easy and nearly all of the students scored we

alukav5142 [94]

Answer:

Some similaritys were they were both quizes everyone took and some differences are one was harder, students did better on 1 than te other and a similarity is they both effected a students grade.

Step-by-step explanation:

8 0

3 years ago