Maths-
General
Easy
Question
Select which is the solution of the system of the equations .
Y= -3X-3
Y= -0.5X+2
- (0,2)
- (-1,0)
- (-1,2)
- (-2,3)
The correct answer is: (-2,3)
Hint:-
We simplify the given equations and solve them simultaneously to find the solution.
Step-by-step solution:-
From the given information, we get-
y = -3x - 3 __________________ (Equation i)
y = -0.5x + 2 ________________ (Equation ii)
Subtracting Equation I from Equation ii, we get-
y = -0.5x + 2
- y = -3x - 3
0 = 2.5x + 5
-5 = 2.5x
-5/2.5 = x ______________ (Dividing both sides by 2.5)
-2 = x
i.e. x = -2 _______________ (Equation iii)
Substituting Equation iii in Equation i, we get-
y = -3x - 3
y = -3 (-2) - 3
y = 6 - 3
y = 3
Final Answer:-
∴ Option d i.e. (-2,3) is the correct option.
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