This would give us ?y? or ?-y? in both equations, which will cause the ?y?-terms to cancel when we add or subtract. This would give us ?x? or ?-x? in both equations, which will cause the ?x?-terms to cancel when we add or subtract.ĭivide the first equation by ?3?. This would give us ?3y? or ?-3y? in both equations, which will cause the ?y?-terms to cancel when we add or subtract.ĭivide the second equation by ?2?. Solve the system of equations by substituting the value expression for y from the second equation into the first equation. Multiply the second equation by ?3? or ?-3?. We will solve the first equation for and then substitute the expression into the second equation. This would give us ?2x? or ?-2x? in both equations, which will cause the ?x?-terms to cancel when we add or subtract. Multiply the first equation by ?-2? or ?2?. Step 4 4 : Then plug in x x to either equation to find the corresponding y y -coordinate. Step 3 3 : Solve this, and you have the x x -coordinate of the intersection. Step 2: Plug the result of Step 1 into the other equation and solve. Step 2 2 : Then substitute that expression for y y in the other linear equation. To solve using substitution, follow these four steps: Step 1: Isolate a variable. So we need to be able to add the equations, or subtract one from the other, and in doing so cancel either the ?x?-terms or the ?y?-terms.Īny of the following options would be a useful first step: Step 1 1 : First, solve one linear equation for y y in terms of x x. When we use elimination to solve a system, it means that we’re going to get rid of (eliminate) one of the variables. To solve the system by elimination, what would be a useful first step? The substitution method is a very straight forward method in. How to solve a system using the elimination method Now for a given system of linear equations, there are various methods of finding its solution.
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