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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.

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Q: What does it mean for a ordered pair to be a solution to a linear equation?
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What does it mean to be a solution to an equation?

A solution to an equation is a set of values for the variables in the equation which make it true.


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If you mean y = 2x then it is a straight line equation


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If you mean y = 5x-3 then it is the linear equation of a straight line


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If you mean y = 4x+2 then it is the linear equation of a straight line


What does it mean both algebraically and graphically when an ordered pair is a solution to a system of two linear equations?

If an ordered pair is a solution to a system of linear equations, then algebraically it returns the same values when substituted appropriately into the x and y variables in each equation. For a very basic example: (0,0) satisfies the linear system of equations given by y=x and y=-2x By substituting in x=0 into both equations, the following is obtained: y=(0) and y=-2(0)=0 x=0 returns y=0 for both equations, which satisfies the ordered pair (0,0). This means that if an ordered pair is a solution to a system of equations, the x of that ordered pair returns the same y for all equations in the system. Graphically, this means that all equations in the system intersect at that point. This makes sense because an x value returns the same y value at that ordered pair, meaning all equations would have the same value at the x-coordinate of the ordered pair. The ordered pair specifies an intersection point of the equations.


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If you mean: y = 2x+5 then it is a straight line equation.


Is y equals 2 to the x power a linear equation?

If you mean y = 2^x, then no, it is not a linear equation. This is an exponential equation. The graph of this exponential equation would start out near zero on the left-hand side (there is a horizontal asymptote at y = 0) and would gradually increase as you move to the right: overall, it has a curved shaped. If you mean y = 2x, then yes, it is a linear equation.


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In graph form, the linear equation lies below the true line or curve.


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its mean solve the problem, to fine the solution like what makes it work.


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If you mean y = 5x+6 then it is a straight line equation whereas 5 is the slope and 6 is the y intercept


What does it mean if the slope of a line is undefined?

it means that the line in the linear equation is a vertical line