Question

What is the correct solution for
x in the following equation:
4 (x-4) = 3 (x-1) - 3
4x - 16 = 3x - 3 - 3
X = -6+16
-
X = 10​

Answer 1

Answer:

3x  

2

−4x+2=2x  

2

−2x+4

⇒  x  

2

−2x−2=0

⇒  A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared.

⇒  Comparing equation x  

2

−2x−2=0 with standard form of quadratic equation ax  

2

+bx+c=0.

⇒  We get, a=1,b=−2,c=−2

∴  The given equation is quadratic equation.

Step-by-step explanation:

Answer 2

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(2x+5)/3 = 3x – 10

Let us simplify,

(2x+5)/3 – 3x = – 10

By taking LCM

(2x + 5 – 9x)/3 = -10

(-7x + 5)/3 = -10

By using cross-multiplication we get,

-7x + 5 = -30

-7x = -30 – 5

-7x = -35

x = -35/-7

= 5

Let us verify the given equation now,

(2x+5)/3 = 3x – 10

By substituting the value of ‘x’ we get,

(2×5 + 5)/3 = 3(5) – 10

(10+5)/3 = 15-10

15/3 = 5

5 = 5