4x+22=8x+10 5x+5=5x+4

Question

Question 3: No Solutions
Consider the two equations you put a square around, which form a system with no
solution. Solve the equations

Answer 1

For the first equation:

4x + 22 = 8x + 10

Subtracting 4x from both sides:

22 = 4x + 10

Subtracting 10 from both sides:

12 = 4x

Dividing both sides by 4:

x = 3

Now let's look at the second equation:

5x + 5 = 5x + 4

Subtracting 5x from both sides:

5 = 4

This is a contradiction, indicating that there is no solution to this system of equations.