Question

now do 3x + 18 = 5x + 8 , 4x + 22 = 8x + 10 solve these step by step and tell me how there is only one solution

Answer 1

can u mabe make the step by step like in 3 steps cause it a little to much

Answer 2

for the first one would x be -10
or no

Answer 3

1. Start with the first equation: 3x + 18 = 5x + 8

2. Subtract 3x from both sides: 18 = 2x + 8.

3. Subtract 8 from both sides: 10 = 2x.

4. Divide by 2: x = 5

5. Substitute x back into the equation to check: 3(5) + 18 = 5(5) + 8

15 + 18 = 25 + 8

33 = 33

So x = 5 is a valid solution for the first equation.

6. Move on to the second equation: 4x + 22 = 8x + 10

7. Subtract 4x from both sides: 22 = 4x + 10

8. Subtract 10 from both sides: 12 = 4x

9. Divide by 4: x = 3

10. Substitute x back into the equation to check: 4(3) + 22 = 8(3) + 10

12 + 22 = 24 + 10

34 = 34

So x = 3 is a valid solution for the second equation.

Since x = 5 is the solution for the first equation and x = 3 is the solution for the second equation, these two equations have different unique solutions, which makes it clear that there is only one solution in each equation.

Answer 4

Of course! Here are the step-by-step solutions for the two equations in 3 steps each:

1. First Equation: 3x + 18 = 5x + 8

Step 1: Subtract 3x from both sides: 18 = 2x + 8
Step 2: Subtract 8 from both sides: 10 = 2x
Step 3: Divide by 2: x = 5

2. Second Equation: 4x + 22 = 8x + 10

Step 1: Subtract 4x from both sides: 22 = 4x + 10
Step 2: Subtract 10 from both sides: 12 = 4x
Step 3: Divide by 4: x = 3

By solving each equation in just 3 steps, it becomes clearer that there is only one solution in each equation: x = 5 for the first equation and x = 3 for the second equation.

Answer 5

Let's go back to the first equation and check if x = -10 is a valid solution.

Original equation: 3x + 18 = 5x + 8

Substitute x = -10 into the equation: 3(-10) + 18 = 5(-10) + 8
-30 + 18 = -50 + 8
-12 = -42 (This is not a true statement)

Since -10 does not satisfy the first equation, x = -10 is not the correct solution for the equation 3x + 18 = 5x + 8. The correct solution is x = 5.