To find the solutions for the equations (7/2)x - (9/2) = 2y and 4y = 7x - 9, we can start by rearranging each equation so that they are in slope-intercept form (y = mx + b).
For the first equation:
(7/2)x - (9/2) = 2y
(7/2)x - (9/2) = 2y
2y = (7/2)x - (9/2)
y = (7/4)x - (9/4)
For the second equation:
4y = 7x - 9
y = (7/4)x - (9/4)
As we can see, the two equations have the exact same form, y = (7/4)x - (9/4), indicating that they represent the same line. Therefore, the solution to both equations is any point on this line.
In math class, Emma and Angelle pair as a group. Emma’s task is to graph (7/2)x−(9/2)=2y and Angelle’s task is to graph 4y=7x−9 . After they complete their graphs, they compare their work. They both get exactly the same graph. What is the solution of (7/2)x−(9/2)=2y and 4y=7x−9 ?
3 answers
How many solutions do these equations have
Since the two equations represent the same line, they have infinitely many solutions. Any point on the line will satisfy both equations.
1 answer