Precalculus: Solving Equations

Solving Equations

a) Solve each of the following equations:

x² - 7 x = x² + 49

4 x² - 16 = 2x - 2

x² - 2x + 1 = 3x - 5

(x³ - x)/x(x + 1) = 0


b) Solve for y each of the following equations:

2 x = (y - 1 )/(2 + y)

x² (1 + y) = 2 x y + 1

4 x² - 2 y² - 10 = 0

x² sin y = 1


c) Solve the following systems of equations with two variables x and y. The first by substitution and the second by elimination:

x + y = 1
2 x - y = 2

- 3 x - 2 y = 0
x + y = 5

Verify your solutions with the 2 equations system program


d) Solve the following system of equations with three variables x y, and z; by substitution and by elimination:

x + y + z = 1
2 x - y - 2 z = 2
x - 2 y - z = 0

Verify your solutions with the 3 equations system program

Solutions