The vertices of a triangle are P(-8, 1), ((-6, 8), and R(4, -3). Name the vertices of the image
2 answers:
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Answer:
x = 6
Step-by-step explanation:
Equation given in the question:
3x − [ 8 − 3(x−1) ] = x + 19
Now,
multiplying the term (3(x-1)) in the equation, we get
⇒ 3x - [ 8 - 3x -3 × (-1)] = x + 19
or
⇒ 3x - [ 8 -3x +3 ] = x + 19
or
⇒ 3x - [ 11 -3x ] = x + 19
now,
multiplying opening the bracket [11 - 3x]
⇒ 3x - 11 - (-3x) = x + 19
or
⇒ 3x - 11 + 3x = x + 19
on adding the terms with same coefficient 'x' on LHS
⇒ (3 + 3)x - 11 = x + 19
or
⇒ 6x - 11 = x + 19
taking -11 to the RHS
⇒ 6x = x + 19 + 11
or
⇒ 6x = x + 30
subtracting x both the sides
⇒ 6x - x = x + 30 - x
or
5x = 30
dividing the both sides by 5
therefore,
x = 6