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

3x + 2y = 6....solution (0,3)

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

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

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

Answer 2

3x + 2y = 6 ⇒ (0,3)

-5x + y = -10 ⇒ (1,-5)

x - 4y = 8 ⇒ (4,-1)

-6x - 5y = 30 ⇒ (0,-6)

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)