can you help me solve these problems step by step?
-9(6+u)-2u=-10
and
13x+7(-3x-1)=-63
-9(6+u)-2u= -10
=-54 + 9u-2u= -10
+54 +54
= 7u= 44
= divide 7 on both sides
u= 6.28
13x-21x-7=-63
=-8x -7=63
+7 +7
= -8x = -56
= divide by 8 on both sides
x= 7
thank you!
Sure! Let's start with the first problem:
-9(6+u)-2u=-10
To solve this equation, you can follow these steps:
Step 1: Distribute the -9 to the terms inside the parentheses:
-54 - 9u - 2u = -10
Step 2: Combine like terms on the left side of the equation:
-54 - 11u = -10
Step 3: Isolate the variable by moving the constant to the opposite side of the equation. You can do this by adding 54 to both sides:
-11u = -10 + 54
Simplifying the right side:
-11u = 44
Step 4: Solve for u by dividing both sides of the equation by -11:
u = 44 / -11
Simplifying:
u = -4
So the solution to the first problem is u = -4.
Now let's move on to the second problem:
13x + 7(-3x - 1) = -63
Follow these steps to solve it:
Step 1: Distribute the 7 to the terms inside the parentheses:
13x - 21x - 7 = -63
Step 2: Combine like terms on the left side of the equation:
-8x - 7 = -63
Step 3: Isolate the variable by moving the constant to the opposite side of the equation. You can do this by adding 7 to both sides:
-8x = -63 + 7
Simplifying the right side:
-8x = -56
Step 4: Solve for x by dividing both sides of the equation by -8:
x = -56 / -8
Simplifying:
x = 7
So the solution to the second problem is x = 7.
I hope this helps you understand how to solve these types of equations step by step! Let me know if you have any further questions.