Question

A student solving a physics proisolating a variable in two equations is easiest when one of them has a coefficient of 1. let's say we have the two equations 3a−b=5 2a 3b=−4 and want to isolate one of the variables, such that it appears by itself on one side of the equation. which of the following is an equation with one of the above variables isolated?blem to find the unknown has applied physics principles and obtained the expression: μkmgcosθ=mgsinθ−ma, where g=9.80meter/second2, a=3.60meter/second2, θ=27.0∘, and m is not given. which of the following represents a simplified expression for μk?

tanθ− ag
to avoid making mistakes, the expression should not be simplified until the numerical values are substituted.
gsinθ−agcosθ
the single equation has two unknowns and cannot be solved with the information given.

Answer 1

Isolating a variable in a system of equations is easiest when one equation has a coefficient of 1. In this case, the variable 'a' can be isolated by rewriting the second equation.

Step-by-step explanation:

When solving a system of equations, isolating a variable is easiest when one of the equations has a coefficient of 1. In the given set of equations, we have:

3a - b = 5
2a + 3b = -4

To isolate one of the variables, let's consider the second equation. Since it already has a coefficient of 1 for the variable 'a', we can solve for 'a' by rewriting the equation as:

2a = -3b - 4

Now, 'a' is isolated on one side of the equation.