9 × (5 × 2) = (9 × 5) × 2
You can see that all the numbers are there and in the same order. The only thing that changed is the parentheses location.
This is called the Associative Property (of Multiplication, because you're multiplying).
y = 6 - 3x
x + y = 62
Since we already know the value of y, we can use substitution to find the value of x.
x + 6 - 3x = 62
<em><u>Subtract 6 from both sides.</u></em>
x - 3x = 56
<em><u>Combine like terms.</u></em>
-2x = 56
<em><u>Divide both sides by -2</u></em>
x = -28
Now that we know the value of x, we can solve for the value of y.
x + y = 62
-28 + y = 62
<em><u>Add 28 to both sides</u></em>
y = 90
The value of y is 90, and the value of x is -28 (this is your answer)
To make sure that these values are correct, we can plug them into the original equations.
y = 6 - 3x
x + y = 62
90 = 6 - 3(-28)
90 = 90 √ this is correct
-28 + 90 = 62
62 = 62 √ this is also correct
The slope of CD is -3. Bc if it was 3 as in the answer above, then the so called "parallel" lines would intersect.
First term, n=1: 2*1 -3 = -1
Second term, n=2: 2*2 -3 = 1
Third term, n=3: 2*3 -3 = 3
