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Q: Which ordered pair is a solution to the equation x plus 2 equals y?

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(4.25, 0.25) is a solution.

There are an infinite number of ordered pairs that satisfy the equation.

x = 12 y = 2 (12,2) satifies the equation

The equation 2x-5y=-1 has a graph that is a line. Every point on that line is an ordered pair that is a solution to the equation. So pick any real number x and plug it in. You will find a y and that pair (x,y) is an ordered pair that is a solution to this equation. For example, let x=0 Then we have -5y=-1so y=1/5 The ordered pair (0, 1/5) is a point on the line and a solution to the equation.

(0, 6.5) is one option.

12

The coordinates of every one of the infinitely many points on the line defined by the equation is a solution.

Always. Every ordered pair is the solution to infinitely many equations.

Substitute the values of the ordered pair into the relation. If the equation is valid then the ordered pair is a solution, and if not then it is not.

An ordered pair is a solution only of a linear equation in two variables - not any linear equation. Often the variables are denoted by x and y. If the first of the ordered pair is substituted for x in the equation, and the second for y, then the equation represents a true statement.

The solution set for a linear equation in two variables comprises an infinite number of ordered pairs, and these are defined by the equation that appears in the question!

Given the ordered pair (3, y), what value of ywould make the ordered pair a solution of the equation 4x − 2y = 24?12

There are an infinite number of solutions to this equation, some of which are (9,0), (12,2), (15,4), (18,6), (21,8)

10

(0, 6)

13

y=3x

1/8

2x - 5y8 is an expression. It is not an equation and so cannot have a solution.

2x - 2y8 is an expression. It is not an equation and so cannot have a solution.

the solution set

7-4-14

15

There are an infinite number of ordered pairs. (-5, -7) is one pair

The idea is to replace one variable in the equation by the first number in the ordered pair, the other variable with the second number in the ordered pair, do the calculations, and see whether the resulting expressions are indeed equal.