multiply the whole equation by the number in the denominator
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You would solve them in exactly the same way as you would solve linear equations with real coefficients. Whether you use substitution or elimination for pairs of equations, or matrix algebra for systems of equations depends on your requirements. But the methods remain the same.
Do you mean "equations involving exponential functions"? Yes,
You can resolve fractional equations by multiplying each side by the same number that will yield whole numbers on both sides. Where there are fractions on both sides, you can multiply by the Least Common Factor of the two denominators. Example: 3/4 x = 5/8 (times 8) 6 x = 5 x = 5/6
1/x=c+1/b, solve for x x=c+b/1
If you know matrix algebra, the process is simply to find the inverse for the matrix of coefficients and apply that to the vector of answers. If you don't: You solve these in the same way as you would solve a pair of simultaneous linear equations in two unknowns - either by substitution or elimination. For example, change the subject of one of the equations to express one of the variables in terms of the other two. Substitute this value into the other two equations. When simplified, you will have two linear equations in two variables.