Determine whether the equation is linear in the variables x and y, show work and explain...
(sin 2)x-y=14
Solution
Yes, given equation is linear in both x and y.
For an equation to be linear in some variable, the given variable should have highest power 1.
Here, this condition is satisfied as both x and y have highest power 1. Coefficient of these
variables should be real numbers. You can see that this condition is also satisfied as x has
coefficient sin(2) which is a real number, y has coefficient of -1 which is also a real number.
Note that for an equation to be linear, there should not be a term involving multiple of two or
more variables. For example, if there was a term let\'s say xy, then it was going to be non-linear
equation as variables x and y are being multipled by each other..
Determine whether the equation is linear in the variables x and y, s.pdf
1. Determine whether the equation is linear in the variables x and y, show work and explain...
(sin 2)x-y=14
Solution
Yes, given equation is linear in both x and y.
For an equation to be linear in some variable, the given variable should have highest power 1.
Here, this condition is satisfied as both x and y have highest power 1. Coefficient of these
variables should be real numbers. You can see that this condition is also satisfied as x has
coefficient sin(2) which is a real number, y has coefficient of -1 which is also a real number.
Note that for an equation to be linear, there should not be a term involving multiple of two or
more variables. For example, if there was a term let's say xy, then it was going to be non-linear
equation as variables x and y are being multipled by each other.
