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There appear to be two equations, but no ordered pair.

Q: Could this ordered pair be a solution to this equation y 2x -1 3y 2x 13?

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

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 infinitely many ordered pairs: each point on the straight line defined by the equation is an ordered pair that is a solution. One example is (0.5, 2.5)

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

(4.25, 0.25) is a solution.

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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.

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.

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

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

10

There are infinitely many ordered pairs: each point on the straight line defined by the equation is an ordered pair that is a solution. One example is (0.5, 2.5)

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.

1/8

y=3x

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.

(4.25, 0.25) is a solution.