For the first equation:
7x + 3 = 7x + 3
Subtracting 7x from both sides, we get:
3 = 3
This is a true statement, but it doesn't tell us anything about x. Since there are no variables left in the equation, we can't solve for x.
For the second equation:
3(4x+8) = 4(3x+6)
Distributing the multiplication, we get:
12x + 24 = 12x + 24
Subtracting 12x from both sides, we get:
24 = 24
This is also a true statement, but it doesn't help us solve for x.
Since both equations have the same variable(s) and neither equation has a false statement, the system has infinite solutions. This means that any value of x will make both equations true, and there is no unique solution for x.
7x+3=7x+3
3(4x+8)=4(3x+6)
Question 2: Infinite Solutions
Consider the two equations you circled, which form a system with infinite solutions.
Solve the equations.
1 answer