Whatever is done on one side of the equations must be done on the other side of the equation to keep it in balance.
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
You first move the variables to one side of the equation and numbers to the other. Then you simplify.
You undo one of the operations at a time, always with the aim of isolating the variable you want to solve for on one side.
You solve just like any other equation: You try to manipulate your equation so that the "x" is alone on the left side, and everything else on the right side.
(a) rearrange one of the equations so that x or y is alone on one side of the equals sign.
The first step is usually to solve one of the equations for one of the variables.Once you have done this, you can replace the right side of this equation for the variable, in one of the other equations.
-- You select an operation. -- You apply the same operation to each side of the equation. -- You keep doing both steps until the equation says (the variable) = (the value of the variable)
Such as 1/2x + 3/4 = 1/4 - 2x ? Get rid of the fractions unless you like working with fractions: multiply by 4 (the LCD) 2x + 3 = 1 - 8x Get all x terms on one side, constants on the other: 2x + 8x = 1 - 3 Combine: 10x = -2 Divide by 10: x = -2/10 Simplify: x = -1/5
4x + 5 = 13. To solve algebraic equations, you need to get the variable by itself on one side of the equation. Start by subtracting 5 from both sides >>> 4x = 8. Then divide both sides by 4 to find what 'x' equals >>> x = 2.
You add one side of each of the equations to form one side of the new equation. You add the other sides of the equations to form the other side. Subtraction is done similarly.