Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

4x-2y=7
-3x+3y=10
Find the point of intersection of the equations

Sagot :

logo88
4x-2y=7 (1)
-3x+3y=10 (2)
3y= 3x+10
y= x+10/3 (3)
sub (3) into (1)
4x-2(x+10/3)=7
4x-2x-20/3=7
2x-20/3=7
    +20/3  +20/3
2x= 41/3
x= (41/3) / 2
x= 41/6
sub x= 41/6 into (3)
y= 41/6+10/3
= 61/6

Therefore the point of intersection is (41/6, 61/6) 
Panoyin
  4x - 2y = 7   ⇒ -12x +   6y = -21
-3x + 3y = 10 ⇒ -12x + 12y = 40
                                       -6y = -61
                                        -6      -6
                                           y = 10¹/₆
                          4x - 2(10¹/₆) = 7
                                4x - 8¹/₃ = 7
                                    + 8¹/₃ + 8¹/₃
                                         4x = 15¹/₃
                                          4        4
                                           x = 3⁵/₆
                                     (x, y) = (3⁵/₆, 10¹/₆)
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. 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 Westonci.ca. Stay informed by coming back for more detailed answers.