Question

# Solve: x - 2y = 8 , 4x + 2y = 7 by using elimination method.

Hint:

### find x by eliminating y and find y by substituting x in the equations.

## The correct answer is: x = 3 ; y = -5/2

### Ans :- x = 3 ; y = -5/2

Explanation :-

x - 2y = 8 — eq 1

4x = 2y = 7 — eq 2

Step 1 :- find x by eliminating y

Eliminating x by adding eq 2 and eq1 then

Step 2 :- substitute value of x and find y

and y = -5/2 is the solution of the given pair of equations.

### Related Questions to study

For the solution of the system of equations above, what is the value of ?

**Note:**

The equations can be solved in many other ways like substitution

method which is: to eliminate one variable in any one of the

equations with the help of other equation. As we need to find the

value of x, we try to find the value of y in terms of x from one

equation. Then put that value of y in the other equation to get a linear equation in one variable , which is x.

For the solution of the system of equations above, what is the value of ?

**Note:**

The equations can be solved in many other ways like substitution

method which is: to eliminate one variable in any one of the

equations with the help of other equation. As we need to find the

value of x, we try to find the value of y in terms of x from one

equation. Then put that value of y in the other equation to get a linear equation in one variable , which is x.

### If E, F, G and H are respectively the mid points of the sides of a parallelogram ABCD and ar(EFGH) = 40 sq.cm , find the ar (parallelogram ABCD).

### If E, F, G and H are respectively the mid points of the sides of a parallelogram ABCD and ar(EFGH) = 40 sq.cm , find the ar (parallelogram ABCD).

### A soft drink is available in two packs. i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and ii) a plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?

### A soft drink is available in two packs. i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and ii) a plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?

### Two transversals are cutting two parallel lines as shown in the diagram. Find the missing values: x, y and

### Two transversals are cutting two parallel lines as shown in the diagram. Find the missing values: x, y and

### Find the value of x and classify the triangle by its angles.

### Find the value of x and classify the triangle by its angles.

**Note:**

The definition of probability used above is the definition of theoretical probability or classical probability. There are many other terms in the concept of probability that the student must be familiar with to solve this question, such as event, outcome, favour able outcome, etc.

**Note:**

The definition of probability used above is the definition of theoretical probability or classical probability. There are many other terms in the concept of probability that the student must be familiar with to solve this question, such as event, outcome, favour able outcome, etc.

### Find the measure of each interior angle of △ ABC, where m ∠ A = 4x°, m ∠ B = 3x° and m ∠ C =2x°

### Find the measure of each interior angle of △ ABC, where m ∠ A = 4x°, m ∠ B = 3x° and m ∠ C =2x°

### The design of a hanger has two right triangles inside. Find the value of x

### The design of a hanger has two right triangles inside. Find the value of x

### If a triangle has three congruent acute angles, it is

### If a triangle has three congruent acute angles, it is

### A right triangle has one right angle and two ____ angles.

### A right triangle has one right angle and two ____ angles.

### P is a point in the interior of parallelogram ABCD. If , what is the value of ?

### P is a point in the interior of parallelogram ABCD. If , what is the value of ?

### The inner diameter of a cylindrical wooden pipe is 24 cm, and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cubic cm of wood has a mass of 0.6 gm.

### The inner diameter of a cylindrical wooden pipe is 24 cm, and its outer diameter is 28 cm. The length of the pipe is 35 cm. Find the mass of the pipe, if 1 cubic cm of wood has a mass of 0.6 gm.

The line graph above shows the average price of one metric ton of oranges, in dollars, for each of seven months in 2014.

In 2014, the average price of one metric ton of

oranges decreased by 2.36% from January (not

shown) to February. Which of the following is closest

to the price of one metric ton of oranges in

January 2014?

**Note:**

Interpreting the condition given in the question and forming the equation is a crucial part of this problem.

To find the closest value to 794.76, we need to find the difference between 794.76 and the numbers given in the options, and choose the minimum one to get the closest value

The line graph above shows the average price of one metric ton of oranges, in dollars, for each of seven months in 2014.

In 2014, the average price of one metric ton of

oranges decreased by 2.36% from January (not

shown) to February. Which of the following is closest

to the price of one metric ton of oranges in

January 2014?

**Note:**

Interpreting the condition given in the question and forming the equation is a crucial part of this problem.

To find the closest value to 794.76, we need to find the difference between 794.76 and the numbers given in the options, and choose the minimum one to get the closest value