Y= 6x-13x + 2y= 43How to solve for the system of equation?

Question

asked Sep 20, 2023 114k views

1 Answer

Aditya Mittal · Answer 1 · 2023-09-24T21:04:53+0000

Solution:

Consider the following linear system of equations:

Equation 1:

$y\text{ = 6x -1 }$

$3x\text{ + 2y = 43}$

From equation 1, we can replace y= 6x-1 into equation 2 to obtain:

$3x+2(6x-1)\text{ = 43}$

this is equivalent to:

$3x\text{ + 12x - 2 = 43}$

putting together similar terms, we get:

$3x\text{ + 12x = 43 +2}$

this is equivalent to:

$15x\text{ = 45}$

solving for x, we get:

$x\text{ = }(45)/(15)=\text{ 3}$

replacing this value (x=3) into equation 1, we can get the value of y:

$y\text{ = 6(3)-1 = 18-1 = 17}$

then, we can conclude that the solution of this system of equations is:

$(x,y)\text{ = (3,17)}$