The graph represents the solution set is attached.
The value of x is 0 and y is 3.
Given that,
Equation; [tex]-x + 2y = 6 \ and \ 4x + y = 3[/tex].
We have to determine,
Which graph represents the solution set to this system of equations?
According to the question,
Equation; [tex]-x + 2y = 6 \ and \ 4x + y = 3[/tex].
Solving both the equation,
From equation 1,
[tex]-x+2y =6\\\\2y = x+6\\\\y= \dfrac{x+6}{2}[/tex]
Substitute the value of y in equation 2,
[tex]4x+y = 3\\\\4x + \dfrac{x+6}{2} = 3\\\\\dfrac{8x+x+6} {2}= 3\\\\{9x+6} = 3\times 2\\\\9x + 6 = 6\\\\ 9x = 6-6\\\\9x =0\\\\x = \dfrac{0}{9}\\\\x = 0[/tex]
And the value of y is,
[tex]-x+2y = 6\\\\-0+2y = 6\\\\2y = 6\\\\y = \dfrac{6}{2}\\\\y = 3[/tex]
Hence, The value of x is 0 and y is 3.
For more details refer to the link given below.
rainly.com/question/16208461
