Solve the system of linear equations by elimination.
2 answers:
3x+2y=3 3x-2y=-9 6x=-6 x=-1 3(-1)+2y=3 -3+2y=3 2y=6 y=3
Answer:
(- 1, 3 )
Step-by-step explanation:
Given the 2 equations
3x + 2y = 3 → (1)
3x - 2y = - 9 → (2)
Adding the 2 equations term by term will eliminate the term in y
(3x + 3x) + (2y - 2y) = (3 - 9), that is
6x = - 6 ( divide both sides by 6 )
x = - 1
Substitute x = - 1 in either of the 2 equations and solve for y
Substituting in (1)
3(- 1) + 2y = 3
- 3 + 2y = 3 ( add 3 to both sides )
2y = 6 ( divide both sides by 2 )
y = 3
Solution is (- 1, 3 )
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