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olganol [36]
3 years ago
8

How to solve #4 using substitution/ elimination method

Mathematics
1 answer:
kolezko [41]3 years ago
3 0
3x+y = 4
  x+y=  2 multiply all the elements of (x+y) by -1 & then add it up to the 1st equation
3x+y=4
-x-y =-2
----------
2x+0y =2 ==> x=2/2 =1 & replace x=1 by its value in any of the equation & you will get the value of y=1

2) 3x+y = 7
x+2y = 4
Follow the same methodology as before, but to eliminate y, multiply the 1st equation by (-2) and you will get x=2 & y=1


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Answer:

x = 16

Step-by-step explanation:

The diagram can be misleading because angle A does not correspond to angle F. Rather angle F corresponds to angle C.

In congruent triangles, corresponding angles have the same measure. The sum of angles is always 180°, so we have ...

... m∠A +m∠B +m∠C = 180°

... (3x+6)° +50° +(9x -68)° = 180°

... 12x -12 = 180 . . . . . divide by °, collect terms

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... x = 16 . . . . . . . . . . . add 1

_____

<em>Check</em>

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