(3, 1)
substitute each ordered pair into the left side of the equation and if equal to the right side then it is a solution
(4, 1 )
(4 + 6) × 1 = 10 × 1 = 10 ≠ 9 ← not a solution
(2, 1 )
(2 + 6 ) × 1 = 8 × 1 = 8 ≠ 9 ← not a solution
(3, 1 )
(3 + 6 ) × 1 = 9 × 1 = 9 ← hence a solution
(12, 2 )
(12 + 6 ) × 2 = 18 × 2 = 36 ≠ 9 ← not a solution
X should be -1 and Y = 2
To make sure, plug in numbers
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-1 - 2 = -3 That works, now we try equation 2
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x + (3)(2) = 5
-1 + 6 = 5
This works to
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X = -1 and Y = 2
104 divided by 21 equals 4 with a remainder of 20, because 21 times 4 equals 84, and 104 - 84= 20.
The lowest common multiple or least common multiple is the lowest multiple two numbers have in common.
you could either:
•list the multiples
eg. What is the lowest common multiple of 2 and 3?
Multiples of 2: 2, 4, 6, 8...
Multiples of 3: 3, 6, 9...
The lowest common multiple of 2 and 3 is 6.
• or factors.
eg. The prime factors of 25 are 5 x 5.
The prime factors of 30 are 2 x 3 x 5.
Remove the 5 that 25 and 30 have in common as a prime factor.
Multiply 25 by the remaining prime factors of 30.
25 x 2 x 3 = 150.
The lowest common multiple of 25 and 30 is 150.
that’s not how to find the lowest of those numbers, but that’s how to do it :))
Answer:
The length of a rectangular garden is: 13 feet
Step-by-step explanation:
You have 2 lengths that are 2x-3 feet, and 2 widths that are x.
2x-3 + 2x-3 +x +x =42 feet
4x -6 +2x -42 feet
6x -6 = 42 feet
6x = 48 feet
x = 8 feet (so, 2x-3 = 16-3 = 13 feet)
