7/30/2023 0 Comments Solve each system by substitutionFor example, if we solve the equation “3((6 – 3y)/2) + 4y = 8” for y, we might get “y = 2”. Solve the resulting equation for the value of the variable. This results in a single equation with one variable (in this case, y). For example, if the other equation is “3x + 4y = 8”, we can substitute the expression for x that we found above to get “3((6 – 3y)/2) + 4y = 8”. Substitute this expression for the variable into the other equation in the system. This gives us an expression for x in terms of y. For example, if the equation is “2x + 3y = 6” and we want to solve for x, we can rearrange the equation to get “x = (6 – 3y)/2”. Here’s a step-by-step guide to solving systems of equations by substitution:Ĭhoose one of the equations and solve it for one of the variables in terms of the other variables. It is generally a straightforward method, but it can be time-consuming if the equations are complex or if there are many variables. The substitution method is useful when one of the equations in the system is easier to solve for one of the variables, or when the equations are already written in a form that is easy to substitute one into the other. Once we have found the value of one of the variables, we can substitute it back into one of the original equations to find the value of the other variable. This results in a single equation with one variable, which we can solve to find the value of that variable. In the substitution method, we solve one of the equations for one of the variables in terms of the other variables, and then substitute this expression into the other equation. The goal of the substitution method is to find the values of the variables that make all the equations in the system true simultaneously. The substitution method is a method used to solve systems of equations, which are a set of two or more equations containing multiple variables.
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