Question

Which ordered pair is a solution of the equation? − 4 x + 7 = 2 y − 3 −4x+7=2y−3

Answer 1

Answer:

The equation is

−4x+7=2y−3

Which can be rewritten as

2y−3  = -4x +7

2y = -4x + 10

y = -2x + 5

The equation represents the line shown in the image below.

Any point that belongs to the line is an ordered pair that represents a solution

To find any ordered pair that satisfies the equation, we place an arbitrary value for x and find the corresponding y value with the equation.

For example

x = 0 ,

y = -2(0) + 5  = 5

(0,5) is an ordered pair

x = 1 ,

y = -2(1) + 5  = 3

(1,3) is an ordered pair

x = 2 ,

y = -2(2) + 5  = 1

(2,1) is an ordered pair

And so on