Determine if 2x = 14 + y and 4x + 2y = 10 are parallel, perpendicular, or neither.
1 answer:
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2 numbers can be represented by the variables x and y.
Set up a system of equations:
The two numbers added together will result in a sum of 33. However, one number subtracted from another will result in a difference of 1.
In both systems of equations, there are inverses of variable y. Therefore, we can combine the systems of equations by adding them together:
Divide both sides by 2 to get x by itself:
One of the numbers will be 17.
Plug the value into one of the equations:
Add y to both sides:
Subtract both sides by 1 to get y by itself:
The two numbers that sum up to 33, with a difference of 1 between them, will be 16 and 17.
Answer: 300 years
Step-by-step explanation:
Let x be the age of Florentine statue,
Thus, According to the question,
The age of Roman statue = 3 x
After 100 years, the age of Florentine statue = x + 100
And, the age of Roman statue = 3x + 100
Again according to the question,
3x + 100 = 2( x + 100)
3x + 100 = 2x + 200
3x - 2 x = 200 - 100
x = 100
Therefore, the present age of Roman statue = 3 × 100 = 300 years
