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There are several ways to solve this system.
Solution 1. Substitution method.
6x - y = -9, (1)
x + 2y = 5. (2)
From equation (2), express x = 5-2y. Then replace x in the equation (1) by (5-2y).
It is the substitution step. You will get a single equation in one unknown y:
6*(5-2y) - y = -9.
Simplify and solve for y:
30 - 12y - y = -9 ====> 30 + 9 = 12y + y ====> 39 = 13y ====> y = = 3.
Now substitute y= 3 into equation (2). You will get
x + 2*3 = 5 ====> x = 5 - 6 = -1.
Answer. The solution is x= -1, y= 3.
For more examples and explanations, see the lesson
- Solution of the linear system of two equations in two unknowns by the Substitution method
in this site.
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