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Solve 2x+3y=11 and 2x-4y=-2y and hence the value of m for which y=m× + 3y?
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Solve 2x+3y=11 and 2x-4y=-2y and hence the value of m for which y=m× +...
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Solve 2x+3y=11 and 2x-4y=-2y and hence the value of m for which y=m× +...
Solving the System of Equations:
- Given equations:
1. 2x + 3y = 11
2. 2x - 4y = -2y

Step 1: Solve for x in terms of y:
- From equation 1: 2x = 11 - 3y
- x = (11 - 3y) / 2

Step 2: Substitute x into equation 2:
- Substitute x = (11 - 3y) / 2 into equation 2: 2((11 - 3y) / 2) - 4y = -2y
- Simplify: 11 - 3y - 4y = -2y
- Solve for y: 11 - 7y = -2y
- y = 11 / 5

Step 3: Find the value of x:
- Substitute y = 11 / 5 into x = (11 - 3y) / 2: x = (11 - 3(11/5)) / 2
- Solve for x: x = 9 / 5

Value of m for y = mx + 3y:
- Given y = m x + 3y
- Substitute the values of y and x: 11/5 = m(9/5) + 3(11/5)
- Simplify: 11/5 = 9m/5 + 33/5
- Solve for m: 11 = 9m + 33
- Rearrange: 9m = -22
- m = -22/9
Therefore, the value of m for which y = mx + 3y is m = -22/9.
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Solve 2x+3y=11 and 2x-4y=-2y and hence the value of m for which y=m× + 3y?
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