Maths-

General

Easy

Question

# Solve the following system of equations by elimination :

X - 4Y = - 8

3X + 4Y = 0

Hint:

### Perform any arithmetic operation and then find.

## The correct answer is: x = - 2 and y = 3 over 2

### Complete step by step solution:

Let x-4y = - 8…(i)

and 3x + 4y = 0…(ii)

On adding (i) from (ii),

we get LHS to be x - 4y + 3x + 4y = x + 3x = 4x

and RHS to be - 8 + 0 = - 8

On equating LHS and RHS, we have 4x = - 8

⇒x = - 2

On substituting the value of x in (i), we get - 2 - 4y = - 8

⇒ - 4y = - 8 + 2

⇒ - 4y = - 6

⇒ y =

Hence we get x = - 2 and y =

Note: We can also solve these system of equations by making the coefficients of x

to be the same in both the equations.

On adding (i) from (ii),

we get LHS to be x - 4y + 3x + 4y = x + 3x = 4x

and RHS to be - 8 + 0 = - 8

On equating LHS and RHS, we have 4x = - 8

On substituting the value of x in (i), we get - 2 - 4y = - 8

Hence we get x = - 2 and y =

Note: We can also solve these system of equations by making the coefficients of x

to be the same in both the equations.

### Related Questions to study

Maths-

### Solve System of equations using Substitution

Y = -2X + 5

2X + Y = 5

### Solve System of equations using Substitution

Y = -2X + 5

2X + Y = 5

Maths-General

Maths-

### Find the length of the segment. Round to the nearest tenth of a unit. 𝐴 ≡ (1, −2), 𝐵 ≡ (5, −4)

### Find the length of the segment. Round to the nearest tenth of a unit. 𝐴 ≡ (1, −2), 𝐵 ≡ (5, −4)

Maths-General

Maths-

### Find the length of the segment. Round to the nearest tenth of a unit. 𝐴 ≡ (3,5), 𝐵 ≡ (−2,3)

### Find the length of the segment. Round to the nearest tenth of a unit. 𝐴 ≡ (3,5), 𝐵 ≡ (−2,3)

Maths-General

Maths-

### The distance between the segment joining origin and (x, y) is

### The distance between the segment joining origin and (x, y) is

Maths-General

Maths-

### Compare the distance AB with AC.

### Compare the distance AB with AC.

Maths-General

Maths-

### Find the distance between points A (3,8) and B (15,3).

### Find the distance between points A (3,8) and B (15,3).

Maths-General

Maths-

### If M (1,1) is the midpoint of a line segment joining origin and point P, find the coordinates of P.

### If M (1,1) is the midpoint of a line segment joining origin and point P, find the coordinates of P.

Maths-General

Maths-

### Find the coordinates of the midpoint of 𝐶𝐷.

### Find the coordinates of the midpoint of 𝐶𝐷.

Maths-General

Maths-

### What will be the midpoint of a line segment joining origin and (4,10)?

### What will be the midpoint of a line segment joining origin and (4,10)?

Maths-General

Maths-

### Find the coordinates of the midpoint M of the pencil.

### Find the coordinates of the midpoint M of the pencil.

Maths-General

Maths-

### Find the value of x.

### Find the value of x.

Maths-General

Maths-

### Find the coordinates of T.

### Find the coordinates of T.

Maths-General

Maths-

### Find the coordinates of E.

### Find the coordinates of E.

Maths-General

Maths-

### Find the length of the pencil.

### Find the length of the pencil.

Maths-General

Maths-

### 10 ropes of length 1.25 m are joined together. What is the length of the new rope? Explain and name the postulate you used.

### 10 ropes of length 1.25 m are joined together. What is the length of the new rope? Explain and name the postulate you used.

Maths-General