Answer:
Remarks:
The method used in solving the example above is called the elimination method, because we eliminate one variable first, to get a linear equation in one variable. In the example above, we eliminated y. We could also have eliminated x. Try doing it that way. 2. You could also have used the substitution, or graphical method, to solve this problem. Try doing so, and see which method is more convenient.
steps of elimination method:
Step 1:
First multiply both the equations by some suitable non-zero constants to make the coefficients of one variable (either x or y) numerically equal. Step 2: Then add or subtract one equation from the other so that one variable gets eliminated. If you get an equation in one variable, go to Step 3. If in
Step 2:
we obtain a true statement involving no variable, then the original equations has infinitely many solutions. If in Step 2, we obtain a false statement involving no variable, then the original pair of equations has no solution, i.e., it is inconsistent.
Step 3:
Solve the equation in one variable (x or y) so obtained to get its value.
Step 4:
Substitute this value of x (or y) either of the original equations to get the value of the other variable.
Explanation:
hope it helps you<3