Question

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

Answer 1

Answer:

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)

Answer 2

3x + 2y = 6....solution (0,3) 

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

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

-6x - 5y = 30...solution (0,-6)