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It works out as: y = x-6

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Q: Which linear equation represents the statement the value of y is twice the quantity of 3 less than x?
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What does it mean for a ordered pair to be a solution to a linear equation?

An ordered pair is a solution only of a linear equation in two variables - not any linear equation. Often the variables are denoted by x and y. If the first of the ordered pair is substituted for x in the equation, and the second for y, then the equation represents a true statement.


Which linear equation represents the statement y is 5 more than 3 times x?

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A linear equation is defined as an equation that contains only the first power of the unknown quantity. For example, 5x - 3 = 7 where "x" is the unknown quantity is a linear equation. If an equation contains an unknown quantity having a higher power than 1, then the equation ceases to be a linear equation. For example, 3x2 + 5x + 7 = 0 is a non linear equation known as a quadratic equation, because the unknown quantity "x" has a power of 2. Similarly, equations containing unknowns with higher powers such as x3, x7, x12 are all non linear equations.


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It means that whatever you have substituted is the solution of the given linear equation. Or you have substituted the equation in itself.


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An equation is a statement that two things are equal. A function is a rule or process that gives you a value if you give it something in its domain (the set of things on which it is defined) as an argument. Functions on numbers that are defined by a rule can usually be expressed by an equation. A linear function is one that can be defined by a linear equation.