Match each equation to the ordered pair that represents one of its solutions. tiles 3x + 2y = 6 -5x + y = -10 x − 4y = 8 -6x − 5y = 30 pairs ordered pair equation (0, -6) arrowboth (0, 3) arrowboth (4, -1) arrowboth (1, -5) arrowboth

3x + 2y = 6        ⇒      (0,3)

-5x + y = -10       ⇒      (1,-5)

x - 4y = 8          ⇒      (4,-1)    

-6x - 5y = 30     ⇒      (0,-6)

Step-by-step explanation:

We are given four equation and four solution. We need to match the column

First we make table of equation and ordered pair

  Equation                     Ordered Pair

3x + 2y = 6                     (0,-6)

-5x + y = -10                    (0,3)

x - 4y = 8                        (4,-1)

-6x - 5y = 30                   (1,-5)

We find the solution of equation if point satisfy the equation.

In ordered pair we are given x-values 0,1,4 . Now we find y-value for each value of x

  Equation                        x=0             x=1              x=4            Solution

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

-5x + y = -10                      y=-10           y=-5            y=10             (1,-5)

x - 4y = 8                          y=-2            y=-7/4         y=-1              (4,-1)

-6x - 5y = 30                     y=-6           y=-36/5        y=-54/5       (0,-6)

Correct Match

3x + 2y = 6        ⇒      (0,3)

-5x + y = -10       ⇒      (1,-5)

x - 4y = 8          ⇒      (4,-1)    

-6x - 5y = 30     ⇒      (0,-6)

understand that i don't know the answers

will someone answer his question

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)