in math class emma and angels pair as a group. Emma’s task is to graph (7/2)x - (9/2) = 2y and angelles take us to graph 4y =_. 7x - 9. After they complete their graphs, they compare their work. They both got exactly the same graph. What is the solution of (7/2)x - (9/2) = 2y and 4y = 7x - 9

Question

in math class emma and angels pair as a group. Emma’s task is to graph (7/2)x - (9/2) = 2y and angelles take us to graph 4y =_. 7x - 9. After they complete their graphs, they compare their work. They both got exactly the same graph. What is the solution of (7/2)x - (9/2) = 2y and 4y = 7x - 9

Answer 1

To find the solution for the two equations, we can set them equal to each other:

(7/2)x - (9/2) = 4y = 7x - 9

To solve for the variables, we can simplify both equations:

First equation:
(7/2)x - (9/2) = 2y
Multiply both sides by 2 to get rid of the fraction:
7x - 9 = 4y

Second equation:
4y = 7x - 9

Now we can set the two equations equal to each other:
7x - 9 = 7x - 9

We notice that both sides of the equation are exactly the same, meaning that the two equations represent the same line. This means that the solution to these equations is infinite - every point on the line of the graph satisfies both equations simultaneously.