Maths-
General
Easy
Question
Solve the equation ![fraction numerator x plus 6 over denominator 3 end fraction equals fraction numerator x minus 3 over denominator 2 end fraction](data:image/png;base64,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)
Hint:
○ To get the value of x first cross multiply with their denominator.
○ Then perform basic operations to get value of x.
The correct answer is: x = 21
○ Given:
Equation: ![fraction numerator x plus 3 over denominator 4 end fraction equals fraction numerator x plus 2 over denominator 2 end fraction](data:image/png;base64,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)
○ Step 1:
○ Cross multiply:
![fraction numerator x plus 3 over denominator 4 end fraction equals fraction numerator x plus 2 over denominator 2 end fraction](data:image/png;base64,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)
(x + 3) 2 = (x + 2) 4
2x + 6 = 4x + 8
○ Step 2:
Group like terms:
2x - 4x = 8 - 6
- 2x = 2
x = ![fraction numerator 2 over denominator negative 2 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAjCAYAAABsFtHvAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAJJJREFUeNpjYCAdWAPxGiD+BMS/gPgCEEcz0AkcBOJIIOaB8rWA+ChUbECAPBBfYhhA8GOgLLaEBj3dAQcQn4QmRLoCQSDeAMRu9LZYCWqxCr0t1gDi2UDMRW+LxYF4FRCzDEQC2wL1+YCA/3jwKBgFQwP8pyMeBaNgaIPRJvVok3roNqkpKaNHm9SjTerB16QGAPnZT2OaPnD5AAAAeXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtZnJhYz48bW4+MjwvbW4+PG1yb3c+PG1vPi08L21vPjxtbj4yPC9tbj48L21yb3c+PC9tZnJhYz48L21hdGg+z7m2PwAAAABJRU5ErkJggg==)
x = -1
- Final Answer:
x = -1
Related Questions to study
Maths-
What are the first three numbers in the pattern? −, −, −, 64, 128, 256, …
What are the first three numbers in the pattern? −, −, −, 64, 128, 256, …
Maths-General
Maths-
Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements.
![text If end text x squared greater than 100 comma text then end text x squared greater than 64](data:image/png;base64,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)
![text If end text x greater than 10 comma text then end text x squared greater than 100](data:image/png;base64,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)
Use the Law of Syllogism to write a new conditional statement that follows from the pair of true statements.
![text If end text x squared greater than 100 comma text then end text x squared greater than 64](data:image/png;base64,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)
![text If end text x greater than 10 comma text then end text x squared greater than 100](data:image/png;base64,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)
Maths-General
Maths-
Solve the equation ![fraction numerator x plus 3 over denominator 4 end fraction equals fraction numerator x plus 2 over denominator 2 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG0AAAAjCAYAAACeqoRKAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAghJREFUeNrtmrFKA0EQhg+RIJJGgqSwCIQUYhFsRSQIIiIpRLAQCxFbi7yDjVWwsBFLC0FEREQECcHCQpAgFiI2vkMKCTbxXxxhkQNxd2/nLjsffJC7EJ252eztXiaK0sE8vIYfsAff4D4sRIPPLDyDXfgJn+BGFgJvw1WY085Nw5sAinYH12GejqfgPZ1joW/5+W6Gi2GTewk+m3xwG+7FnN+l95IOvAxfmS44d+4R3SaM6MCidrwFDxIebUX6P+q+tsz4TeHI/YcZmiKNWIJNer0AWwlOEf1fNpinN5+564zAB1qgGHMLa7SqKfzzwsf5F2NwhQKvMReOI/cLuGgbeIOWolXPN+M8FY4Tn7mXqWAVV3uIpuESlO1m7HD/5CP3SXgER22DVpW/pD+kRv2jwWbXpmhVWoxw4DN3tdg5hcO2QY/TEwo90Do8TihwtcFco8CH6AnJO9xkKJjv3K/om2aFeipxDidi3juhVZVr5ij4HtmmC+UbjtxtFi6CIAjCYOJicysI6RipaVByl+lREARBEIRBpR7QAiCzrXA66ieNl4CKlrpWOBMOo+/OpZCX2satcFxTRUvbP4VMLwtB5mh0laRodq1wPlFNnjvacahFc9IK54NqzMgKsWjOWuF8oEZWJfCiOWuF80XoD2ydtcKloZAh4KwVTormDyetcFK09NwanPIFZV0GNM6GdJIAAADRdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtcm93PjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjM8L21uPjwvbXJvdz48bW4+NDwvbW4+PC9tZnJhYz48bW8+PTwvbW8+PG1mcmFjPjxtcm93PjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjI8L21uPjwvbXJvdz48bW4+MjwvbW4+PC9tZnJhYz48L21hdGg+9vOx1QAAAABJRU5ErkJggg==)
Solve the equation ![fraction numerator x plus 3 over denominator 4 end fraction equals fraction numerator x plus 2 over denominator 2 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG0AAAAjCAYAAACeqoRKAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAghJREFUeNrtmrFKA0EQhg+RIJJGgqSwCIQUYhFsRSQIIiIpRLAQCxFbi7yDjVWwsBFLC0FEREQECcHCQpAgFiI2vkMKCTbxXxxhkQNxd2/nLjsffJC7EJ252eztXiaK0sE8vIYfsAff4D4sRIPPLDyDXfgJn+BGFgJvw1WY085Nw5sAinYH12GejqfgPZ1joW/5+W6Gi2GTewk+m3xwG+7FnN+l95IOvAxfmS44d+4R3SaM6MCidrwFDxIebUX6P+q+tsz4TeHI/YcZmiKNWIJNer0AWwlOEf1fNpinN5+564zAB1qgGHMLa7SqKfzzwsf5F2NwhQKvMReOI/cLuGgbeIOWolXPN+M8FY4Tn7mXqWAVV3uIpuESlO1m7HD/5CP3SXgER22DVpW/pD+kRv2jwWbXpmhVWoxw4DN3tdg5hcO2QY/TEwo90Do8TihwtcFco8CH6AnJO9xkKJjv3K/om2aFeipxDidi3juhVZVr5ij4HtmmC+UbjtxtFi6CIAjCYOJicysI6RipaVByl+lREARBEIRBpR7QAiCzrXA66ieNl4CKlrpWOBMOo+/OpZCX2satcFxTRUvbP4VMLwtB5mh0laRodq1wPlFNnjvacahFc9IK54NqzMgKsWjOWuF8oEZWJfCiOWuF80XoD2ydtcKloZAh4KwVTormDyetcFK09NwanPIFZV0GNM6GdJIAAADRdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtcm93PjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjM8L21uPjwvbXJvdz48bW4+NDwvbW4+PC9tZnJhYz48bW8+PTwvbW8+PG1mcmFjPjxtcm93PjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjI8L21uPjwvbXJvdz48bW4+MjwvbW4+PC9tZnJhYz48L21hdGg+9vOx1QAAAABJRU5ErkJggg==)
Maths-General
Maths-
Make and test a conjecture about the sign of the cube of negative integers.
Make and test a conjecture about the sign of the cube of negative integers.
Maths-General
Maths-
In the following system of linear equations, k is a constant and x and y are variables. For what value of k will the system of equations have infinitely many solution?
kx - 3y = 12
4x - 5y = 20
In the following system of linear equations, k is a constant and x and y are variables. For what value of k will the system of equations have infinitely many solution?
kx - 3y = 12
4x - 5y = 20
Maths-General
Maths-
In the following system of linear equations, k is a constant and x and y are variables. For what value of k will the system of equations have no solution?
kx - 3y = 4
4x - 5y = 7
In the following system of linear equations, k is a constant and x and y are variables. For what value of k will the system of equations have no solution?
kx - 3y = 4
4x - 5y = 7
Maths-General
Maths-
Determine whether the following equations have unique solution y = 2x + 5
y = 3x – 2.
Determine whether the following equations have unique solution y = 2x + 5
y = 3x – 2.
Maths-General
Maths-
Solve the following equation : 2(1 - x) + 5x = 3(x + 1) and say whether it is having one solution , no solution or infinitely many solutions ?
Solve the following equation : 2(1 - x) + 5x = 3(x + 1) and say whether it is having one solution , no solution or infinitely many solutions ?
Maths-General
Maths-
Given five noncollinear points, make a conjecture about the number of ways to connect different pairs of points.
Given five noncollinear points, make a conjecture about the number of ways to connect different pairs of points.
Maths-General
Maths-
Check, whether the following equation has exactly one solution or infinitely many solution or no solution. 4x + 2 = 4x – 5
Check, whether the following equation has exactly one solution or infinitely many solution or no solution. 4x + 2 = 4x – 5
Maths-General
Maths-
Write the converse and biconditional statement for the given conditional statement.
If a triangle is equilateral, then it is equiangular.
Write the converse and biconditional statement for the given conditional statement.
If a triangle is equilateral, then it is equiangular.
Maths-General
Maths-
Check, whether the following equation has exactly one solution or infinitely many solution or no solution. 4x - 5 = 2(2x - 1) – 3
Check, whether the following equation has exactly one solution or infinitely many solution or no solution. 4x - 5 = 2(2x - 1) – 3
Maths-General
Maths-
The system of equations 3x - 5y = 20 ; 6x - 10y = 40 has
The system of equations 3x - 5y = 20 ; 6x - 10y = 40 has
Maths-General
Maths-
Describe the pattern in the numbers. Write the next number in the pattern.
7, 3.5, 1.75, 0.875, …
Describe the pattern in the numbers. Write the next number in the pattern.
7, 3.5, 1.75, 0.875, …
Maths-General
Maths-
Check, whether the following equation has exactly one solution or infinitely many solution or no solution. 4x - 3 = 2x + 13
Check, whether the following equation has exactly one solution or infinitely many solution or no solution. 4x - 3 = 2x + 13
Maths-General