Find the solution to the system of equations 2x + y = 3 and x - y = 3.
2 answers:
Ans (2,-1)
2(2)+(-1)=3
4+(-1)=3
3=3
and
2-(-1)=3
2+1=3
3=3
Answer:
(2, - 1 )
Step-by-step explanation:
2x + y = 3 → (1)
x - y = 3 → (2)
adding the 2 equations term by term will eliminate y
3x + 0 = 6
3x = 6 ( divide both sides by 3 )
x = 2
substitute x = 2 into either of the 2 equations and solve for y
substituting into (1)
2(2) + y = 3
4 + y = 3 ( subtract 4 from both sides )
y = - 1
solution is (2, - 1 )
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