By elimination, the solution of the system of equations, x + y = 12 and x - y = 2, is (7 , 5).
A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.
There are three methods that can be used to solve system of equations.
1. Elimination
2. Substitution
3. Graphing
Using the elimination method, given two equations in x and y, a variable should be eliminated by adding/subtracting the two equations.
Adding the two equations will eliminate the variable y.
x + y = 12 (equation 1)
x - y = 2 (equation 2)
2x + 0y = 14
x = 7
Substitute the value of x to any of the two equation and solve for y.
x + y = 12 (equation 1)
7 + y = 12
y = 12 - 7
y = 5
Hence, the solution of the system of equations is (7 , 5).
Learn more about solving systems of equations by elimination here: https://brainly.com/question/28405823
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