Rewrite the equation x + y + 3 = –2x + 4y + 18 into standard form (ax + by = c).
2 answers:
Standard form : Ax + By = C
x + y + 3 = –2x + 4y + 18
x + 2x + y - 4y = 18 - 3
3x - 3y = 15
Answer
3x - 3y = 15
Answer:
<em><u>Standard form of (ax + by = c) given equation is -3x + 3y = 3</u></em>
Step-by-step explanation:
Given equation: x + y + 3 = –2x + 4y
Standard form of equation: ax + by = c
Solution:
x + y + 3 = –2x + 4y
= -2x + 4y = x + y +3
By subtracting x and y from both sides of equation:
= -2x - x + 4y - y = x + y + 3 - x - y
= -3x +3y = 3
So standard form of equation is -3x + 3y = 3 in which -3 is a and 3 is b and 3 is equal to c.
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- Domain is the set of input values
- Range is the set of output value
- Function is passes the vertical line test
<h3>#2</h3>
<u>Domain:</u>
- - 2 ≤ x < 2 or x∈ [-2, 2)
<u>Range:</u>
- -4 ≤ y < 0 or y ∈ (-4, 0]
<u>Function:</u>
- YES - passes the vertical line test
<h3>#4</h3>
<u>Domain:</u>
<u>Range:</u>
<u>Function:</u>
- N0- doesn't pass the vertical line test
<h3>#6</h3>
<u>Domain:</u>
- - 4 < x < 4 or x∈ (-4, 4)
<u>Range:</u>
- -4 < y ≤ -2 or y ∈ (-4, -2]
<u>Function:</u>
- YES - passes the vertical line test