2x - 5y8 is an expression. It is not an equation and so cannot have a solution.
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
Plug your ordered pair into both of your equations to see if you get they work.
To determine the ordered pair in the solution set of the equation (3x - y = 10), you can rearrange it to (y = 3x - 10). Any ordered pair ((x, y)) that satisfies this equation will be part of the solution set. For example, if you choose (x = 4), then (y = 3(4) - 10 = 2), so the ordered pair ((4, 2)) is in the solution set.
Tell whether the ordered pair (5, -5) is a solution of the system
There are an infinite number of ordered pairs. (-5, -7) is one pair
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)
To determine an ordered pair that could be a solution to an inequality, you need to substitute the values of the ordered pair into the inequality and check if it satisfies the condition. For example, if the inequality is (y < 2x + 3) and the ordered pair is (1, 4), you would substitute (x = 1) and (y = 4) to see if (4 < 2(1) + 3) holds true. If it does, then (1, 4) is a solution; if not, you would need to try another pair.
an ordered pair that makes both equations true
No, this is not necessarily the case. A function can have an infinite range of solutions but not an infinite domain. This means that not every ordered pair would be a solution.