The two numbers are the same.
There are an infinite number of possibilities.
You are asked to put the fractions on a number line to help you understand fractions. It isn't so much you will use a number line " in real life" but it gives you a visual representation to help you learn. You will use fractions for many things in life. Just do what what you are asked to do by your teacher they have a reason. You are not the only student in the class and others may need a bit extra assignments to help them understand. Go with the flow. Not all things in life will relate to "real life."
It means that the equations are actually both the same one. When they're graphed, they both turn out to be the same line.
Y = ('x' times any number) + 7
Equations with the same solution are called dependent equations, which are equations that represent the same line; therefore every point on the line of a dependent equation represents a solution. Since there is an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 2x + y = 8 4x + 2y = 16 These equations are dependent. Since they represent the same line, all points that satisfy either of the equations are solutions of the system. A system of linear equations is consistent if there is only one solution for the system. A system of linear equations is inconsistent if it does not have any solutions.
A vertical line has the equation [ x = a number ]. A horizontal line has the equation [ y = a number ].
The two numbers are the same.
There are an infinite number of possibilities.
The system of equations can have zero solutions, one solution, two solutions, any finite number of solutions, or an infinite number of solutions. If it is a system of LINEAR equations, then the only possibilities are zero solutions, one solution, and an infinite number of solutions. With linear equations, think of each equation describing a straight line. The solution to the system of equations will be where these lines intersect (a point). If they do not intersect at all (or maybe two of the lines intersect, and the third one doesn't) then there is no solution. If the equations describe the same line, then there will be infinite solutions (every point on the line satisfies both equations). If the system of equations came from a real world problem (like solving for currents or voltages in different parts of a circuit) then there should be a solution, if the equations were chosen properly.
You are asked to put the fractions on a number line to help you understand fractions. It isn't so much you will use a number line " in real life" but it gives you a visual representation to help you learn. You will use fractions for many things in life. Just do what what you are asked to do by your teacher they have a reason. You are not the only student in the class and others may need a bit extra assignments to help them understand. Go with the flow. Not all things in life will relate to "real life."
It means that the equations are actually both the same one. When they're graphed, they both turn out to be the same line.
Y = ('x' times any number) + 7
how to use number line to represent real life event
First degree equations ad inequalities in one variable are known as linear equations or linear inequalities. The one variable part means they have only one dimension. For example x=3 is the point 3 on the number line. If we write x>3 then it is all points on the number line greater than but not equal to 3.
If the equations of the system are dependent equations, which represent the same line; therefore, every point on the line of a dependent equation represents a solution. Since there are an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 3x + 2y = 8 6x + 4y = 16
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