The linear equation is used to make a substitution into the nonlinear equation. We can also solve a pair of simultaneous equations where the first equation is linear and the second equation is quadratic by using the substitution method. We can then solve the equation to work out one of the variables and then substitute it back into one of the original equations to find the value of the second variable. We can also solve linear simultaneous equations by using the substitution method where one of the equations is substituted into the other equation. Once one of the variables is found, we can then substitute it back into one of the equations in order to find the second variable. The equations can then be added or subtracted to eliminate one of the variables. One or both of the equations will often need to be multiplied by an integer so that the coefficients of one of the variables is the same in both equations. Here, we need to compare the coefficients of the variables and find ones that match. When both equations are linear equations we can use the elimination method. There are different types of simultaneous equations that we can solve. Simultaneous equations are pairs of equations with two unknowns.
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