Match each system of equations to its graph. y = 2x + 1 y = x + 2 y = 3x y = x + 3 y = 2x − 2 y = x − 2 y = 2x + 3 y = x + 5 y =
1 answer:
The matchup are:
- (1st picture): y=2x+3 and y=x+5
- (2nd picture): y=4x+2 and y =3x+2
- (3rd picture): y=2x+1 and y =x+2
- (4th picture): 3x and x+3
The graph of the linear equation is known to be one that often brings or set the points that can be found on the coordinate plane and it is one that shows all the solutions to the equation.
Note that when all variables stands for real numbers, a person can be able to use graph to show the equation and this is often done through plotting the points to show a pattern and then link up the points to have all the points.
From the above, the pictures that have all the points as shown on the graph are:
- (1st picture): y=2x+3 and y=x+5
- (2nd picture): y=4x+2 and y =3x+2
- (3rd picture): y=2x+1 and y =x+2
- (4th picture): 3x and x+3
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No, it is impossible. Intuitively, a negative number sits at the left of 0 on the number line, and a positive number sits at the right of 0 on the number line. And a number x is greater than another number y if x sits at the right of y on the number line. So, every positive number is greater than any negative number.
Also, by definition, a positive number is greater than 0, and a negative number is smaller than zero. So, if x is positive and y is negative, you have
and since the relation of order "<" is transitive, this implies