Question

# Solve:

Hint:

### solve the given equation for x .

## The correct answer is: x = 5

### Ans :- x = 5

Explanation :-

### Related Questions to study

Which of the following could be the *x*-coordinate of a solution to the system of equations above?

**Note: **

If we had to find the y-coordinate of the system of equations, then we put this value of x in the equation to get the value of y. Here, we got a quadratic equation of x, which did not have any term containing x, so it was easier to solve. If the quadratic equation was of the form , then we would use the quadratic formula to solve the equation.

Which of the following could be the *x*-coordinate of a solution to the system of equations above?

**Note: **

If we had to find the y-coordinate of the system of equations, then we put this value of x in the equation to get the value of y. Here, we got a quadratic equation of x, which did not have any term containing x, so it was easier to solve. If the quadratic equation was of the form , then we would use the quadratic formula to solve the equation.

### Solve the equation and check your result 6(3m + 2) – 2(6m – 1) = 3(m – 8) – 6(7m – 6) +9m

### Solve the equation and check your result 6(3m + 2) – 2(6m – 1) = 3(m – 8) – 6(7m – 6) +9m

### Solve and check your answer: 3x – 2(2x – 5) = 2(x + 3) – 8

### Solve and check your answer: 3x – 2(2x – 5) = 2(x + 3) – 8

### Solve: 16 = 4 + 3(x + 2)

### Solve: 16 = 4 + 3(x + 2)

The graph of the function *f *is shown in the *xy*-plane above, where y =f . Which of the following functions could define *f *?

**Note:**

We need to know properties about factors, multiplicity, leading co-efficients and turning points to find out the function from a graph.

The graph of the function *f *is shown in the *xy*-plane above, where y =f . Which of the following functions could define *f *?

**Note:**

We need to know properties about factors, multiplicity, leading co-efficients and turning points to find out the function from a graph.

### At a restaurant, *n *cups of tea are made by adding *t *tea bags to hot water. If *t n *= +2, how many additional tea bags are needed to make each additional cup of tea?

### At a restaurant, *n *cups of tea are made by adding *t *tea bags to hot water. If *t n *= +2, how many additional tea bags are needed to make each additional cup of tea?

### f(x) =2^{x} +1

The function *f *is defined by the equation above. Which of the following is the graph of *y = - f*(x)in the *xy*-plane?

### f(x) =2^{x} +1

The function *f *is defined by the equation above. Which of the following is the graph of *y = - f*(x)in the *xy*-plane?

In 1962, the population of a bird species was 2,000. The population *k *years after 1962 were 48, and *k *satisfies the equation above. Which of the following is the best interpretation of the number 61 in this

context?

**Note:**

This question could also be solved by eliminating the options. Option A is wrong as the population *k* years after 1962 is 48, not 61. Option B is wrong because we find the value of k to be 32. Option C is wrong because the difference between the population in 1962 and the population *k *years after 1962 is given by 2000-48=1952.

In 1962, the population of a bird species was 2,000. The population *k *years after 1962 were 48, and *k *satisfies the equation above. Which of the following is the best interpretation of the number 61 in this

context?

**Note:**

This question could also be solved by eliminating the options. Option A is wrong as the population *k* years after 1962 is 48, not 61. Option B is wrong because we find the value of k to be 32. Option C is wrong because the difference between the population in 1962 and the population *k *years after 1962 is given by 2000-48=1952.

### The figure on the left above shows a wheel with a mark on its rim. The wheel is rolling on the ground at a constant rate along a level straight path from a starting point to an ending point. The graph of *y= d(t)* on the right could represent which of the following as a function of time from when the wheel began to roll?

### The figure on the left above shows a wheel with a mark on its rim. The wheel is rolling on the ground at a constant rate along a level straight path from a starting point to an ending point. The graph of *y= d(t)* on the right could represent which of the following as a function of time from when the wheel began to roll?

### Which of the following is equivalent to ?

### Which of the following is equivalent to ?

One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.

If a white birch tree and a pin oak tree each now have a diameter of 1 foot, which of the following will be closest to the difference, in inches, of their diameters 10 years from now? (1 foot = 12 inches)

One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.

If a white birch tree and a pin oak tree each now have a diameter of 1 foot, which of the following will be closest to the difference, in inches, of their diameters 10 years from now? (1 foot = 12 inches)

In the equation above, c is a constant. If the equation has infinitely many solutions, what is the value of c ?

**Note: **

As the equation is true for all values of x, we could have put x equal to any other number instead of 1, and we would get the same result. If we put x=1 in the first step as well, we would get the same value for x

In the equation above, c is a constant. If the equation has infinitely many solutions, what is the value of c ?

**Note: **

As the equation is true for all values of x, we could have put x equal to any other number instead of 1, and we would get the same result. If we put x=1 in the first step as well, we would get the same value for x