Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly 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 useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.