Maths-
General
Easy
Question
How many solutions does the equation 3(2.4x+4)= 4.1x + 7 + 3.1x have Explain?
Hint:
An equation where no value can be substituted for the variable which will satisfy the equation i.e. for no value of x (or any other variable in the equation), would LHS equal RHS.
Hence, an equation where LHS ≠ RHS for any value of x has no solutions.
We will simplify the given equation and check whether LHS = RHS or not.
The correct answer is: The given equation 3 (2.4x + 4)= 4.1x + 7 + 3.1x can be classified as having no solution.
Step-by-step solution:-
Simplifying the given equation i.e. 3 (2.4x + 4)= 4.1x + 7 + 3.1x, we get-
3 (2.4x + 4) = 4.1x + 7 + 3.1x
∴ 7.2x + 12 = 4.1x + 7 + 3.1x ........................... (Opening the bracket and multiplying 3 with the entire expression on LHS)
∴ 7.2x - 4.1x - 3.1x = 7 - 12 ......................................... (Taking variables and constants on either sides of the equation)
∴ 0 = -5
∴ LHS ≠ RHS
Since in the above equation, LHS is not equal to RHS, the given equation has no solutions.
Final Answer:-
∴ The given equation 3 (2.4x + 4)= 4.1x + 7 + 3.1x can be classified as having no solution.
Related Questions to study
Maths-
Suji and Anu are making smoothies that have the same number of fluid ounces. Suji uses 4 containers of ice cream to make her smoothie and she prepares 6 ounces of juice in total. Anu uses 2.5 containers of ice cream to make her smoothie and she prepares 12 ounces of juice in total. How many Ounces of Ice-Cream is in each container?
Suji and Anu are making smoothies that have the same number of fluid ounces. Suji uses 4 containers of ice cream to make her smoothie and she prepares 6 ounces of juice in total. Anu uses 2.5 containers of ice cream to make her smoothie and she prepares 12 ounces of juice in total. How many Ounces of Ice-Cream is in each container?
Maths-General
Maths-
Determine the number of solutions for each equation:
a)x+3+7= 2x-10-x
Determine the number of solutions for each equation:
a)x+3+7= 2x-10-x
Maths-General
Maths-
Prove that triangles AEB and CED are congruent, provided that AB || CD. Name the postulate that you used.
Prove that triangles AEB and CED are congruent, provided that AB || CD. Name the postulate that you used.
Maths-General
Maths-
Madhu makes 3 bracelets and Swetha makes 2 bracelets. They both use the same number of string colors. How many colors should they used to make the same amount of money ?
Madhu’s Bracelet : Rs 5 per bracelet plus Rs 2 for each string color.
Swetha’s Bracelet : Rs 3 per bracelet and Rs 3 for each string color.
Say whether this situation has no solution or infinitely many solutions?
Madhu makes 3 bracelets and Swetha makes 2 bracelets. They both use the same number of string colors. How many colors should they used to make the same amount of money ?
Madhu’s Bracelet : Rs 5 per bracelet plus Rs 2 for each string color.
Swetha’s Bracelet : Rs 3 per bracelet and Rs 3 for each string color.
Say whether this situation has no solution or infinitely many solutions?
Maths-General
Maths-
What additional information is necessary to prove that the given triangles are congruent by AAS postulate?
What additional information is necessary to prove that the given triangles are congruent by AAS postulate?
Maths-General
Maths-
Can the triangles be proven congruent with the information given in the diagram?
Can the triangles be proven congruent with the information given in the diagram?
Maths-General
Maths-
Prove that triangles OXY and OPQ are congruent by AAS postulate.
Prove that triangles OXY and OPQ are congruent by AAS postulate.
Maths-General
Maths-
Simplify: [[1/4]4 × [1/4]4] ×[[3/5]12 ÷ [3/5]5]
Simplify: [[1/4]4 × [1/4]4] ×[[3/5]12 ÷ [3/5]5]
Maths-General
Maths-
What additional information is necessary to prove that the given triangles are congruent by ASA congruence postulate?
What additional information is necessary to prove that the given triangles are congruent by ASA congruence postulate?
Maths-General
Maths-
What additional information is necessary to prove that the given triangles are congruent by AAS congruence postulate ?
What additional information is necessary to prove that the given triangles are congruent by AAS congruence postulate ?
Maths-General
Maths-
Solve: 8x . 4y = 128 , 92 x - y = 1
Solve: 8x . 4y = 128 , 92 x - y = 1
Maths-General
Maths-
△ ABC ≅△ GHI
BC ≅
△ ABC ≅△ GHI
BC ≅
Maths-General
Maths-
△ ABC ≅△ GHI
∠B ≅
△ ABC ≅△ GHI
∠B ≅
Maths-General
Maths-
△ ABC ≅△ GHI
△ ABC ≅△ GHI
Maths-General
Maths-
Observe the given diagram and answer the following questions.
II) What additional information is necessary to prove that △ ABE ≅ △ CDE ?
Observe the given diagram and answer the following questions.
II) What additional information is necessary to prove that △ ABE ≅ △ CDE ?
Maths-General
