WebJul 25, 2024 · To determine if an ordered pair is a solution to a system of two equations, we substitute the values of the variables into each equation. If the ordered pair makes both equations true, it is a solution to the system. Let’s consider the system below: \[\begin{cases}{3x−y=7} \\ {x−2y=4}\end{cases}\] Is the ordered pair (2,−1) a solution ... WebIf the equation yields a true statement, then the ordered pair is a solution of the linear equation. If the ordered pair does not yield a true statement then it is not a solution. Example Determine whether (−2,4) ( − 2, 4) is a solution to the equation 4y+5x= 3 4 y + 5 x = 3. Show Solution

Intermediate Algebra Tutorial 12 - West Texas A&M University

WebWhich of the following ordered pairs (x, y) are solutions to the equation - 6 = 1 ? { (4, 1), (5, 2), (- 3, 1), (- 3, -1), (1, 4)} (x, y) = (4, 1): -6 = - 6 = 7 - 6 = 1. Solution. (x, y) = (5, 2): -6 = -6 = -6 = - ≠1. Not a solution. (x, y) = (- 3, 1): -6 = … WebMar 25, 2011 · So if an ordered pair is a solution to one equation, but not the other, then it is NOT a solution to the system. A consistent system is a system that has at least one solution. An inconsistent system is a system that has ... Step 6: Check the proposed ordered pair solution in BOTH original equations. east imani

2.3: Graphing Linear Equations - Mathematics LibreTexts

WebThese Guided Notes focus on How to Determine if a given Ordered Pair is a Solution to a linear equation algebraically by substituting the x-value and y-value into the equation. … WebMay 23, 2024 · The solution to a linear equation is presented as an ordered pair (x, y), or a data point. Linear equations are expressed by the polynomial equation y = mx + b, which has the highest exponent of 1. WebNov 21, 2011 · Ordered pair solutions to equations Graphing lines and slope Algebra Basics Khan Academy Fundraiser Khan Academy 7.77M subscribers 296K views 11 … eastil secured atlanta office