Solve the equation if X =4, Y= 6 (4X+3Y-8)-3(2X-Y+2)=
14
10
17
15
Correct Answer : A
To solve the expression given 𝑋=4X=4 and 𝑌=6Y=6, substitute these values into the expression and simplify step by step.
The expression is:
(4𝑋+3𝑌−8)−3(2𝑋−𝑌+2)
Substitute 𝑋=4 and 𝑌=6:
(4⋅4+3⋅6−8)−3(2⋅4−6+2)
Calculate the inner values:
(16+18−8)−3(8−6+2)
(26)−3(4)
Now calculate further:
26−12
This simplifies to: 14
So, the correct answer is: 14
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Related Questions
Correct Answer is A
Explanation
To add the fraction
s and 
, we will need a common denominator. The least common denominator between 8 and 2 is 8.
Convert 12 to a fraction with 8 as the denominator:
= 
= 
Now add the two fractions:
+ = 
=
The result, , is an improper fraction, which can be converted into a mixed number:
= 
Thus, the answer is A 1 1/8.
Correct Answer is C
Explanation
To solve this proportion, we set up the ratio of the given terms equal to the ratio of the unknown term:
=
Now, we cross multiply:
125×𝑋=5×75
125𝑋=375
Now, solve for X by dividing both sides by 125:
𝑋 =
= 3
So, the value of X is 3.
Therefore, the correct answer is: C X= 3
Correct Answer is A
Explanation
The given proportion can be written in fraction format
Now, cross multiply:
0.6 × 2 = 0.3 × X
1.2 = 0.3X
To solve for X, divide both sides by 0.3:
X =4
So, the value of X is 4.
Correct Answer is B
Explanation
To solve the division problem
413 ÷0.05
Adjust the division to simplify the operation.
Dividing by 0.05 is equivalent to multiplying by the reciprocal of 0.05.
Reciprocal of 0.05 is
= 20
Hence, the operation becomes:
413 × 20
Calculating the multiplication:
413×20 = 8260
Therefore, the answer is: B 8,260
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