Is x = 6 a solution to the equation 5(x – 3) = x + 13? Follow the steps to find out. 1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true.

2. Simplify both sides. Show your work.

3. Is x = 6 a solution to the equation? Why or why not?

4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution.

Example 1

We're asked to solve this system of equations:

\begin{aligned} 3x+y &= -3 x&=-y+3 \end{aligned}

3x+y

x

​

=−3

=−y+3

​

The second equation is solved for xxx, so we can substitute the expression -y+3−y+3minus, y, plus, 3 in for xxx in the first equation:

\begin{aligned} 3\blueD{x}+y &= -3 3(\blueD{-y+3})+y&=-3 -3y+9+y&=-3 -2y&=-12 y&=6 \end{aligned}

3x+y

3(−y+3)+y

−3y+9+y

−2y

y

​

=−3

=−3

=−3

=−12

=6

​

Plugging this value back into one of our original equations, say x = -y +3x=−y+3x, equals, minus, y, plus, 3, we solve for the other variable:

Step-by-step explanation:

5 ( 6 - 3 )= 6 + 13

simplified 19 and 8

Step-by-step explanation:

( i think sorry if wrong bad at simplifying haven't started it yet )

b

step-by-step explanation: