In Exercises 1-8, solve the system of equations.
To calculate: The solution of system of the equations
Given Information:
The equations of the system are:
Formula used:
A system of linear equation can be solved using the method of elimination. To solve the system of equation using elimination follow the following procedure:
Step 1: Arrange both equations such that the like variables and constants are one above the other.
Step 2: Decide which variable to eliminate and with proper choice of multiplication, arrange so that the coefficients of that variable are same or opposite in sign for another.
Step 3: Add the equations if they are of opposite sign and subtract the equations if they are same sign leaving one equation with one variable.
Step 4: Solve for the remaining one variable.
Step 5: Substitute the value found in the above step in any equation involving both variables and solve for the other variable.
Calculation:
Consider the given equations
Solving the above equations by the method of elimination.
Eliminating the variable ‘y’ by adding the both equations as:
Substituting
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