Question

Write your own two equations that would have a solution of (3,6).

a) 2x + 3y = 12
b) x - y = -3
c) 4x + 2y = 10
d) 2x + 2y = 10

Answer 1

To have a solution of (3,6), we can write the equations x + y = 9 and 2x + 4y = 30.

Step-by-step explanation:

When given a solution of (3,6), we need to write two equations that have x=3 and y=6 as their solution. Let's write two equations:

Equation 1: x + y = 9

Equation 2: 2x + 4y = 30

In Equation 1, when we substitute x=3 and y=6, we get 3 + 6 = 9 which is true. Similarly, in Equation 2, when we substitute x=3 and y=6, we get 2(3) + 4(6) = 30 which is also true. Therefore, both equations have the solution (3,6).