Answer:
y = 7
x = 12
Step-by-step explanation:
14x+7y=217, then 14x = 217 - 7y
14x+3y=189, then 14x = 189 - 3y
217 - 7y = 189 - 3y
add 7y to each side of the equation:
4y + 189 = 217
subtract 1890 from each side:
4y = 28
divide both sides by 4:
y = 7
14x + 3(7) = 189
subtract 21 from each side:
14x = 168
divide both sides by 14:
x = 12
The coefficient of the second term is the 3 in (4x+3y)
3/7*5/6
cross out 3 and 6
divide by 3
3/3= 1
6/3= 2
1/7*5/2
mutiply the denominators together
7*2= 14
mutiply the numerators together
1*5= 5
Answer:
5/14
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.
