Determine whether the following system of equations has one solution, no solution, or an infinite number of solutions. explain your reasoning 3(x+4) = x+2

It has infinite number of solutions because you can put infinite number of values for a given variable: Here, x

For example you can put the value of 6 = x

or 7 = x and etc.

Therefore infinite values so infinite solutions...

One solution, x = -5.

Step-by-step explanation:

3(x + 4) = x + 2    Distributing the 3 over the brackets:

3x + 12 = x + 2  Subtract x from both sides and subtract 12 from both sides:

3x - x = 2 - 12   Simplify:

2x = -10   Divide both sides by 2:

x = -5.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

7,24

step-by-step explanation: