Question

Consider the system of equations. y = −2x + 4 y = − 1 3 x − 1 The solution is (3, –2). Verify the solution. Which true statement appears in your check?

Answer 1

`\displaystyle\bf \left \{ {{y=-2x+4} \atop {y=-(1)/(3) x-1}} \right. => \\\\\\-2x+4 =-(1)/(3)x -1\\\\-(5)/(3) x=-5\\\\\boxed{x=3\quad ; \quad y=-2}`

Answer 2

-2 = -2

Explanation:

You need to substitute the values of y and x.

(X,Y) =

(3, -2)

y= - 2x + 4

-2= -2(3) +4

-2= - 6 + 4

-2=-2

y= - 1/3x - 1

-2= - 1/3 (3) - 1

-2 = -1 -1

-2 = -2

The answer is -2 = -2, so this means that both equations are true

Hope it helps UwU :>