Answer: 2y = 3x
Reason:
The equation x:y = 2:3 is the same as saying x/y = 2/3
Cross multiply to get 3x = 2y which flips to 2y = 3x
Answer: Answers are in the steps read carefully!
Step-by-step explanation:
A) 3x^2 - 7x + 2 To factor this polynomial, you have to find two numbers that their product is 6 and their sum is -7. The numbers -1 and -6 works out because -6 times -1 is 6 and -6 plus -1 is -7.
Now rewrite the polynomial as
3x^2 - 1x - 6x + 2 Now group it
(3x^2 - 1x) (-6x+2) Factor it by groups
x (3x -1) -2(3x -1) Now factor out 3x-1
(3x -1) (x-2) Done!
B) 2x^2 - x -3 Now the same way.You will have two numbers that their product is -6 and their sum is -1. You may be wondering how I get -6 .I get -6 by multiply the leading coefficient 2 by the constant -3. The numbers -3 and 2 works out. Because -3 times 2 is -6 and -3 plus 2 is -1.
Rewrite the polynomial as
2x^2 +2x - 3x -3 GRoup them and factor them
(2x^2 + 2x) (-3x-3)
2x(x+1) -3(x+1) Factor out x+1
(x+1) (2x -3) Done!
C) 3x^2 - 16x - 12 Find two numbers that their product is -36 and their sum is -12. The numbers -18 and 2 works out because -18 times 2 is -36 and -18 plus 2 is -16.
Rewrite the polynomial
3x^2 +2x -18x - 12 GRoup them
(3x^2 + 2x) (-18x - 12) Factor them
x (3x +2) -6(3x +2) Factor out 3x+2
(3x+2) (x -6) Done !
Answer:
answer of this question is 12150
Answer:
x + y = ±15
Step-by-step explanation:
Step 1: Write out systems of equations
x - y = 1
xy = 56
Step 2: Rearrange 1st equation
x = y + 1
Step 3: Substitution
(y + 1)y = 56
Step 4: Distribute
y² + y = 56
Step 5: Solve for <em>y</em>
y² + y - 56 = 0
(y - 7)(y + 8) = 0
y = -8, 7
Step 6: Plug in <em>y </em>to find <em>x</em>
x - 7 = 1
x = 8
x - (-8) = 1
x + 8 = 1
x = -7
Step 7: Find answer
x + y = ?
8 + 7 = 15
-7 + -8 = -15
So both 15 and -15 could be the answer.
