The first equation, 2x + 7 = 2x can be simplified by subtracting 2x from both sides:
2x + 7 - 2x = 2x - 2x
This simplifies to 7 = 0, which is false. Therefore, there is no solution for the first equation.
The second equation, 3x + 18 = 5x + 83, can be solved by isolating the variable on one side:
3x - 5x = 83 - 18
-2x = 65
Dividing by -2 gives:
x = -32.5
Therefore, the system of equations does not have one solution, as the first equation is unsolvable and the second equation has one solution, x = -32.5.
2x+=2x+7 3x+18=5x+83
Question 4: One Solution
Consider the two equations that you underlined, which form a system with one
solution. Solve the equations.
1 answer