Question

Two lines have the given equations. Use the LINEAR COMBINATION METHOD to solve.

Answer 1

Using linear combination method, the solution to given system of equations are (-7, -15)

Solution:

Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated

Addition is used when the two equations have terms that are exact opposites, and subtraction is used when the two equations have terms that are the same.

Given system of equations are:

2x - y = 1  ---- eqn 1

3x - y = -6 ------ eqn 2

Subtract eqn 2 from eqn 1

2x - y = 1

3x - y = -6

(-) -------------

-x = 7

x = -7

Substitute x = -7 in eqn 1

2(-7) - y = 1

-14 - y = 1

y = -14 - 1 = -15

y = -15

Thus the solution to given system of equations are (-7, -15)