What is the solution to the system of equations: x - 2y = 5 and 2x - y = 6?
- x = 2/3, y = -4/3
- x = 7/3, y = -4/3
- x = 5/3, y = -4/3
- None of these
Explanation
Given equations:
1. x - 2y = 5
2. 2x - y = 6
Step-by-Step Solution
Step 1: Solve one equation for one variable
From equation (2):
2x - y = 6
⇒ y = 2x - 6
Step 2: Substitute into the other equation
Substitute y = 2x - 6 into equation (1):
x - 2(2x - 6) = 5
x - 4x + 12 = 5
-3x + 12 = 5
Step 3: Solve for x
-3x = 5 - 12
-3x = -7
x = 7/3
Step 4: Solve for y
Substitute x = 7/3 back into y = 2x - 6:
y = 2(7/3) - 6
y = 14/3 - 6
y = 14/3 - 18/3
y = -4/3
Related MCQs
- 2.5
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- 4.5
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 2x + 2
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اس سوال کو وضاحت کے ساتھ پڑھیں
