Question

consider the two equations that you underlined, which form a system with one solution. solve the equations.

first equation is 4x+22=8x+10
second equation is 3x+18=5x+8

Answer 1

theyre supposed to have one solution each though

Answer 2

To solve the first equation, we will first rearrange the equation to isolate x:

4x + 22 = 8x + 10
Subtract 4x from both sides:
22 = 4x + 10
Subtract 10 from both sides:
12 = 4x
Divide by 4:
x = 3

Now, substitute x = 3 into the second equation and solve for x:

3(3) + 18 = 5(3) + 8
9 + 18 = 15 + 8
27 = 23

Therefore, the system of equations has no solution.

Answer 3

Apologies for the error. Let's go ahead and solve the equations correctly.

First equation: 4x + 22 = 8x + 10
Subtract 4x from both sides: 22 = 4x + 10
Subtract 10 from both sides: 12 = 4x
Divide by 4: x = 3

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

Therefore, the solution to the system of equations is x = 3.