Write two equations for which 2 is the solution.
3y + 4 = 10, 2x – 3 = 1
Idea: A “solution” of an equation is a number that makes the left side and the right side equal after we substitute it.
Given equations:
1) (3y + 4 = 10) 2) (2x - 3 = 1)
Check for (y = 2) in the first equation:
(3y + 4 = 10)
Put (y = 2)
(3 imes 2 + 4 = 10)
(6 + 4 = 10)
(10 = 10) ✓ true
Check for (x = 2) in the second equation:
(2x - 3 = 1)
Put (x = 2)
(2 imes 2 - 3 = 1)
(4 - 3 = 1)
(1 = 1) ✓ true
Conclusion: After substituting 2, both equations become true. So, 2 is a solution for each equation.