Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

elect the correct answer from each drop-down menu. A system of linear equations is given by the tables. x y -5 10 -1 2 0 0 11 -22 x y -8 -11 -2 -5 1 -2 7 4 The first equation of this system is y = x. The second equation of this system is y = x − . The solution to the system is ( , ).

Sagot :

semsee45

Answer:

First equation:  y = -2x

Second equation: y = 3 - x

Solution:  (1, -2)

Step-by-step explanation:

Assuming the ordered pairs of the tables are:

Table 1

(-5, 10)  (-1, 2)  (0, 0)  (11, -22)

Table 2

(-8, -11)  (-2, -5)  (1, -2)  (7, 4)

To create a linear equation, pick 2 ordered pairs. Calculate the slope by using the slope formula, then use the points-slope form of the linear equation to form the equation.

[tex]\textsf{slope }m=\dfrac{\textsf{change in }y}{\textsf{change in }x}[/tex]

[tex]\textsf{point-slope form : }y-y_1=m(x-x_1)[/tex]

Equation 1

[tex]\textsf{slope }m=\dfrac{2-10}{-1+5}=-2[/tex]

[tex]y-0=-2(x-0)\\\\\implies y=-2x[/tex]

Equation 2

[tex]\textsf{slope }m=\dfrac{-5+11}{-2+8}=1[/tex]

[tex]y+11=1(x+8)\\\\\implies y=x-3[/tex]

Solution to the System

Equate the equations and solve for x:

-2x = x - 3

⇒ 0 = 3x - 3

⇒ 3x = 3

⇒ x = 1

Substitute found value of x into one of the equations and solve for y:

y = 1 - 3 = -2

Therefore, the solution is (1, -2)

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.