At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
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 using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.