2 Answers

Pumpkinpro · Answer 1 · 2021-01-14T05:52:10+0000

The graph represents the solution set is attached.

The value of x is 0 and y is 3.

Given that,

Equation;
$-x + 2y = 6 \ and \ 4x + y = 3$ .

We have to determine,

Which graph represents the solution set to this system of equations?

According to the question,

Equation;
$-x + 2y = 6 \ and \ 4x + y = 3$ .

Solving both the equation,

From equation 1,

$-x+2y =6\\\\2y = x+6\\\\y= (x+6)/(2)$

Substitute the value of y in equation 2,

$4x+y = 3\\\\4x + (x+6)/(2) = 3\\\\\frac{8x+x+6} {2}= 3\\\\{9x+6} = 3* 2\\\\9x + 6 = 6\\\\ 9x = 6-6\\\\9x =0\\\\x = (0)/(9)\\\\x = 0$

And the value of y is,

$-x+2y = 6\\\\-0+2y = 6\\\\2y = 6\\\\y = (6)/(2)\\\\y = 3$

Hence, The value of x is 0 and y is 3.

For more details refer to the link given below.

rainly.com/question/16208461

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