Which of the following is a linear equation in two variables? (i) x + y = 10 (ii) xy = 10 (iii) x/y = 10 (iv) 2x + 3y
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i), iii), and iv) are Linear Equation in two variables.
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A linear equation in two variables of the following is option (i) x+ y = 10.
- The equation x+y=10 has two variables x and y that are added and equated to a constant 10.
- The second option xy=10 is not a linear equation because the two variables x and y are multiplied.
- The third option x/y=10 is also not a linear equation because the variables x and y are divided. The equation can also be written as xy⁻¹=10.
- The fourth option 2x+3y is not equated to a constant and that is why it does not form a linear equation.
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