Kyle put "two" rectangles together to make this shape, so cut the shape into two. Then we know the bottom of one of the rectangles which is 16 is subtracted by 8 because half of 16 is 8 and 8 is one the measurements.
For this, I'll be using the substitution method. Since y = 1/3x - 6, replace the y variable in the first equation with 1/3x - 6 and solve for x:
Now that we have the value of x, plug it into either equation to solve for y:
<h3><u>In short, the solution to this equation is (3,-5).</u></h3>
8 with a remainder of 10 or 8 and 10/15 orrrrr 8 and 1/3
Answer:
n = -8
Step-by-step explanation:
The variable has 4 subtracted and that quantity is multiplied by 5. You can find the value of the variable by reversing these operations, in reverse order. That means you first divide both sides of the equation by 5:
5(n-4)/5 = -60/5
n -4 = -12 . . . . . . simplify
Then you undo the subtraction of 4. You accomplish that by adding 4 to both sides of the equation.
n -4 +4 = -12 +4
n = -8 . . . . . . . . . simplify
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This equation can also be solved by first eliminating parentheses. Then you have
5n -20 = -60
Now, the variable is multiplied by 5, then 20 is subtracted from the sum. Reversing these operations in reverse order, we first add 20 to both sides of the equation:
5n -20 +20 = -60 +20
5n = -40 . . . . . . . . . . . . . simplify
Then we undo the multiplication by dividing both sides of the equation by 5:
n = -8
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The rule to remember is "whatever you do to one side of the equation must also be done to the other side". This is what keeps the equal sign valid.
