How do you solve a linear equation?

To solve linear equations, find the value of the variable that makes the equation true. Use the inverse of the number that multiplies the variable, and multiply or divide both sides by it. Simplify the result to get the variable value. Check your answer by plugging it back into the equation.

What are the properties of a linear equation?

You can manipulate the equation in this way because of equality properties: If a b, then a + c b + c. If a b, then a c b c. If a b, then ac bc. If a b, then a c b c (so long as c 0).

What is the addition property of linear equations?

ADDITION PROPERTY OF EQUALITY- for any real numbers a, b, and c, If a b, then a + c b + c This property will be used when solving linear equations.

What is the Additive Property of linear functions?

A one-step linear equation is a linear equation which can be solved in only one step. The Additive Property of Equality: The additive property of equality, or additive property for short, states that the same number can be added to both sides of an equation without changing the truth of the equation.

What is the additive property of equations?

The addition property of equality states that when the same quantity is added to both sides of an equation, it produces an equivalent equation. For example, 2 1+1 is an equation because both the right and the left-hand sides of the equal sign represent the number 2.

What is the addition property of equations?

The addition property of equality states that adding the same quantity on both sides of an equation produces equivalent results. For example, 2 1+1 is an equation because both the right and the left-hand sides of the equal sign represent the number 2.

What is an example of the properties of addition?

Commutative property of addition: Changing the order of addends does not change the sum. For example, 4 + 2 2 + 4 . Associative property of addition: Changing the grouping of addends does not change the sum. For example, ( 2 + 3 ) + 4 2 + ( 3 + 4 ) .

How do you solve equations using the addition property?

The addition property of equality is used while solving equations. For example, to solve x - 3 5, we have to add 3 to both sides so that only the variable (x) will be left on the left side. This implies, x - 3 + 3 5 + 3, which can be simplified as x 8.

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Qvcc Mathematics Linear Equations Addition Property

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Emove the constant. Example: To solve x 12 3 we want to isolate the variable x by adding 12 to both sides of the equation. x 12 3 + 12 + 12 x 9 Find the solution to the following linear equations (a) x + 2 7 (f) x 8 8 x x (g) x + 12 3 (b) x 7 16 x x (c) x + 10 5 (h) x + 21 0 x x (d) x 28 4 (i) 27 + x 33 x x (e) 12 + x 7 (j) 6 x 11 x x SCORE RESET.

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