![]() ![]() Similarly, you could have solved for x first then used the same method to find what y equals, and then go back to find out what x equals. One way to solve by substitution is to solve one equation for one of the variables, and then plug the result for that variable into the other equations. (Here I chose to use the second equations again) Find the second variable by plugging in the answer you got for the first variable into one of your original equations. (Here I chose to solve for y in the second equation) Choose which equation and variable you want to use. To use substitution to solve a system of equations, we first need to rearrange one of the equations to make a variable the subject. Integration by Substitution 'Integration by Substitution' (also called 'u-Substitution' or 'The Reverse Chain Rule') is a method to find an integral, but only when it can be set up in a special way. The step-by-step version of solving the equation with substitution: Once we know what x equals we can plug that into either equation to find what y equals. You can use any variable based on the ease of calculation. Step 2: Solve any one of the equations for any one of the variables. Because we solve for y in the "first" equation when we plug that answer into the "second" equation we now only have one variable x. The steps to apply or use the substitution method to solve a system of equations are given below: Step 1: Simplify the given equation by expanding the parenthesis if needed. After solving for y in the chosen equation I would plug what I got for y which will still have an x in it and substitute that into the equation I haven't used yet. I generally always solve for y first and I pick the easiest looking equation to solve for y to start with. ![]() It doesn't matter which equation you use to solve for the variable you are going to substitute. With the substitution method, you are solving for one of the variables in one of the equations. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. 547 7.1 Gaussian Elimination mEthod To solve by back substitution, replace y in the first equation with 21 and solve for x. A more in-depth explanation of my solving process: Solve your math problems using our free math solver with step-by-step solutions.
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