1. 3x - 2y = 8 Subtract 3x on both sides
-2y = 8 - 3x Divide by -2 on both sides to get y by itself
y = -4 + 3/2x
2. a + b / 3 = 5 Multiply 3 on both sides
a + b = 15 Subtract a on both sides to get b by itself
b = 15 - a
3. 12x - 4y = 20 Subtract -12x on both sides
-4y = 20 - 12x Divide -4 on both sides to get y by itself
y = -5 + 3x
4. y + 3 = -5(x - 2) Multiply -5 to (x-2)
y + 3 = -5x + 10 Subtract 3 on both sides to get y by itself
y = -5x + 7
Answer: K = -14
Step-by-step explanation: solve for k by simplifying both sides of the equation then isolating the variable
800,000+90,000+9,000+500+1
FOIL is a mnemonic rule for multiplying binomial (that is, two-term) algebraic expressions.
FOIL abbreviates the sequence "First, Outside, Inside, Last"; it's a way of remembering that the product is the sum of the products of those four combinations of terms.
For instance, if we multiply the two expressions
(x + 1) (x + 2)
then the result is the sum of these four products:
x times x (the First terms of each expression)
x times 2 (the Outside pair of terms)
1 times x (the Inside pair of terms)
1 times 2 (the Last terms of each expression)
and so
(x + 1) (x + 2) = x^2 + 2x + 1x + 2 = x^2 + 3x + 2
[where the ^ is the usual way we indicate exponents here in Answers, because they're hard to represent in an online text environment].
Now, compare this to multiplying a pair of two-digit integers:
37 × 43
= (30 × 40) + (30 × 3) + (7 × 40) + (7 × 3)
= 1200 + 90 + 280 + 21
= 1591
The reason the two processes resemble each other is that multiplication is multiplication; the difference in the ways we represent the factors doesn't make it a fundamentally different operation.
