Question

Which ordered pairs solve the following equation?
3x= 2y – 1
A) (-2, -2.5)
B) (0, -0.5)
C) (-1, -1)

1. The coordinates (-2, -2.5) and  (-1, -1) are satisfying the equation so pairs (A) and (B) will be correct.

### What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
A formula known as an equation uses the same sign to denote the equality of two expressions.
In another word, the equation must be constrained with some constraints.
Given the equation,
3x= 2y – 1
To know which coordinate satisfies the equation we need to put one by one all three coordinate,
Coordinate (A) ⇒ A) (-2, -2.5)
3(-2) = 2(-2.5) – 1 ⇒ -6 = -6 so it is satisfying.
Coordinate (B) ⇒ B) (0, -0.5)
3(0) = 2(-0.5) – 1 ⇒ 0 ≠ -2 so it is not satisfying.
Coordinate (C) ⇒C) (-1, -1)
3(-1) = 2(-1) – 1 ⇒ -3 = -3 so it is also satisfying.
Hence “The pair (-2, -2.5) and  (-1, -1) are satisfying“.