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:
5 1/2 hours
Step-by-step explanation:
by a factor of 5 means times 4
6*4=24
22/4=5.5 hours
Answer:
81
Step-by-step explanation:
9 x 9 = 81
Microwave, oven, coffee maker
400 reduced by 4 times my age is 116...
400 - 4x = 116
-4x = 116 - 400
-4x = - 284
x = -284/-4
x = 71 <===
