IJKL is a rectangle, so opposite sides have the same length:
• IJ = KL ⇒ 6y - 6 = 2x + 20
• JK = IL ⇒ 3x + 21 = 6y
Substitute the second equation into the first and solve for x :
6y - 6 = 2x + 20
(3x + 21) - 6 = 2x + 20
3x + 15 = 2x + 20
x = 5
Solve for y :
3x + 21 = 6y
15 + 21 = 6y
36 = 6y
y = 6
Answers: 12-x=3 | x+3y=27 | 4y-10=14 | 1/3xy=18
Explanation: x=9 and y=6
12-(9)=3 | (9)+3(6)=27 | 4(6)-10=14 | 1/3(9)(6)=18
Answer:
The two numbers are 5 and 1. Their product is 5
Step-by-step explanation:
x + y = 6 (*)
x - y = 4 (**)
Let (*) + (**)
--> (x+y) + (x-y) = 6 + 4
<=> 2x = 10 <=> x = 5
Substitute x= 5
(*) <=> 5 + y = 6
<=> y=1
Answer: (x,y) = (5,1)
Their product: x.y = 5x1 = 5
There are 3. They're 16,25 and 36
