1. 4x + 8y = 12....divide by 4
x + 2y = 3
2y = -x + 3
y = -1/2x + 3/2...slope is -1/2, y int is 3/2
x + 2y = -3
2y = -x - 3
y = -1/2x - 3/2...slope is -1/2 and y int is -3/2
when the slopes are the same, and the y int are different, then the lines are parallel and never intersect...so they have no solution and are inconsistent
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2. y = 2x - 1...slope is 2 and y int is -1
y = -2x + 5 ...slope is -2 and y int is 5
when the slopes are different and the y int are different, then there is 1 solution making it independent
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3. 4x - 12y = 8...divide by 4
x - 3y = 2
same as other equation meaning the equations are the same line...meaning they have infinite solutions making them dependent
Answer:
-3 or -3/1
Explanation:
It’s going down so it will be negative, it’s always rise over run so rise would be -6 (even tho it goes down which is why it’s a negative) run would be how much it goes over so it would be 2, so it’s -6 over 2 , but then you make the number smaller (simplify) , divide both sections by 2, it would come out to -3 over 1 but the one basically goes away
Answer:
250/30= 25/3
inverse of 25/3= 3/25
Step-by-step explanation:
Answer: fRACTION: 1/2
Step-by-step explanation: Decimal: 0.5
Percent: 50
Answer:
-68 is your answer
Step-by-step explanation:
Remember to follow PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)
First, solve each parenthesis
(-21 x 3) = -63
(15/-3) = -5
Next, add
(-63) + (-5) = -63 - 5 = -68
-68 is your answer
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