how do you do this algebra step by step

Essentially you are given an equation 4x = 3y +7, and that x= 4,5,6 but are given no other info.

Well you sort of have to guess what they want you to do. Usually in math they want you to solve for things. Well you are given values for x. Since we already know what the x's are most likely they want to know what value the y's are.

It seems like this is just one question but in fact it is three questions.

One way to answer the question is to plug these x values in one at a time and find y.

So when x=4 4*4 = 3y + 7 gives 16 = 3y + 7 subtract 7 both sides

16-7 = 3y + 7 - 7----> 9 = 3y divide by coefficient on y 9/3 = 3y/3 ---> 3 = y

So the first solution is ordered pair (x,y) = (4,3) Now instead of doing this every single time it might be easier to solve the original equation in terms of y

4x = 3y + 7 subtract 7

4x - 7 = 3y divide by 3

(4x - 7)/3 = 3y/3 giving equation

y = (4x-7)/3 So no we can plug the other two x's more easily without performing the same operations everytime

For x = 5 y = (4*5-7)/3 = (20 - 7)/3 = 13/3 so solution is (5,13/3)

For x = 6 y = (4*6 - 7)/3 = (24 - 7)/3 = 17/3 so solution is (6, 17/3)