Respuesta :
The least common multiple (LCM) of the two integers yields the system of equations' solution as (1, 2).
What is LCM?
It is possible to determine the smallest common multiple between any two or more integers using the least common multiple (LCM) approach. A number that is the product of at least two other numbers is said to be a common multiple.
[tex]The simultaneous equation being used\\\\6x - 2y = 2\\8x + 3y = 14[/tex]
removing the x term using the Elimination technique. We'll utilize the common multiple of the product of the x coefficients in both equations to achieve that.
In both equations, the coefficient of x has an LCM of 6 * 8 = 48.
We shall multiply equations 1 and 2 by 8 as follows because 6 and 8 are multiples of 48:
[tex]6x – 2y = 2 ........ 1 * 8\\8x + 3y = 14 .......2 * 6\\48x - 16y = 16\\48x + 18y = 64\\[/tex]
Subtract
[tex]-16y - 18y = 16 - 84\\-34y = - 68\\y = 68/34\\y = 2[/tex]
Replace y = 2 with equation 1:
From 1:
[tex]6x - 2y = 2\\6x - 2(2) = 2\\6x - 4 = 2\\6x = 2+4\\6x = 6\\x = 6/6\\x = 1[/tex]
Consequently, the system of equations' solution is (1, 2)
To know more about Least Common Factor visit:
https://brainly.com/question/20739723
#SPJ4
