Part A:
To solve this pair of equations, one method is to solve graphically by plotting both equations on a coordinate plane.
For the equation y = 2x − 1, the slope is 2 and the y-intercept is -1.
For the equation y = 4x − 5, the slope is 4 and the y-intercept is -5.
Plot both lines on the same graph, and the point where they intersect will be the solution to the pair of equations.
Part B:
To find the solution to the pair of equations, we need to find the point where the two lines intersect. By graphing the equations y = 2x − 1 and y = 4x − 5, we can see that they intersect at the point (2, 3).
Therefore, the solution to the pair of equations is x = 2 and y = 3.
A pair of equations is shown below:
y = 2x − 1
y = 4x − 5
Part A: In your own words, explain how you can solve the pair of equations . If solving graphically, write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. If solving by substitution, list the steps. If you decide to solve by elimination, specify the number you multiply the first equation to eliminate x? (6 points)
Part B: What is the solution to the pair of equations? (4 points)
1 answer