Suppose x = 7 is a solution to the equation 4x - 2(x + a) = 8. Find the value of a that makes the equation true

Step-by-step explanation:

So we have the equation:

And we want to find a such that x = 7 is a possible solution.

To do so, substitute 7 for x. Thus:

Multiply the left and distribute the right:

Subtract:

Subtract 14 from both sides:

Divide by -2: "

So, the value of a is 3.

And our equation would be:

And we're done!

Edit: Incorrect Answer

his first public project he is asked to create a small scale drawing. the garden is a right triangle with base 25m and height 30m. are you trying to solve for the last side/hypotenuse? the irrational form of the answer would be 5\sqrt{61}

step-by-step explanation:

yes it represnts a functio, their are not 2 of the same numbers on the both sides