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)

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.