Describe the number of solutions for the equation.
13. 3(x – 3) = 3x
one solution
no solution
infinitely many solutions
14. –2(y – 3) = 2y – 6
one solution
no solution
infinitely many solutions
13 b
14 a
are they right
Thank you Anonymous
He’s 100% right
3(x-3)=3x
No solution
-2(y-3)=2y-6
1 solution
FOR CONNEXUS 2021 THESE ARE THE RIGHT ANSWERS FOR UNIT 7 LESSON 9 EQUATIONS AND INEQUALITIES UNIT TEST
To determine the number of solutions for an equation, you need to solve the equation and examine the relationship between the variables involved. Let's go through each equation:
13. 3(x – 3) = 3x
To solve this equation, we will distribute the 3 to the terms inside the parentheses:
3x - 9 = 3x
Next, we will isolate the x term on one side of the equation. Subtracting 3x from both sides:
-9 = 0
In this case, we end up with an inconsistent equation (-9 = 0), which means that there is no value of x that satisfies the equation. Therefore, the answer is "no solution."
14. –2(y – 3) = 2y – 6
Again, we will distribute the -2 to the terms inside the parentheses:
-2y + 6 = 2y - 6
Now, we can isolate the y term on one side. Adding 2y to both sides:
6 = 4y - 6
Next, we add 6 to both sides:
12 = 4y
To isolate the y term, we divide both sides by 4:
3 = y
In this case, we were able to solve the equation and obtained a specific value for y. Therefore, there is only one value that satisfies this equation. The answer is "one solution."