Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A 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 appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.