Question

Which values of x and y will satisfy y = 5x and 12x + 9y = 60?. . A. . . x = 1, y = 19 . . B. . . x = 35 y= 20/19. . C. . . x = 1/20 y = 1/90. . D.. . x = 20/19 y = 100/19. . E.. . x = 19 y = 50/19

Answer 1

To solve this problem, we have to find the solution for the set of equations given. This can be done as follows:

y = 5x ( 1 )
12x + 9y = 60 ( 2 )

We substitute (1) to the y in (2).
12x + 9(5x) = 60
12x + 45x = 60
57x = 60
x = 60/57

y = 5(60/57) = 300/57