A student should be familiar with solving word problems using equations as it has wide applications in science and many other areas. There are mainly two methods : (1) solving systems of equations by substitution and (2) solving systems of equations by elimination. To solve the system of equations by elimination,(here we consider only two variables, though this can be applied to more than 2 variables also) multiply the equations by suitable numbers such that coefficients of one variable are same. Add or subtract the two so that one variable is”eliminated”. Then find the solution for the other variable. Substituting this in one of the equations, we get the solution of the variable which was “eliminated”. Practice many problems from systems of equations word problems worksheet and use other resources of this page to improve your skills.
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The first method of solving systems of linear equations is the addition method, in which the two equations are added together to eliminate one of the variables. Adding the equations means that we add the left sides of the two equations together, and we add the right sides together.
Look at the x – coefficients. Multiply the first equation by -4, to set up the x-coefficients to cancel. Take the value for y and substitute it back into either one of the original equations
Substitution Method**Step 1: Solve one of the equations for either x = or y = .**Step 2: Substitute the solution from step 1 into the other equation.**Step 3: Solve this new equation.**Step 4: Solve for the second variable. … **Step 1: Solve one of the equations for either x = or y =.
In order to solve for y, take the value for x and substitute it back into either one of the original equations. Solution: Look at the x – coefficients. Multiply the first equation by -4, to set up the x-coefficients to cancel.
