In this page elimination method questions 3 we are going to see solution of third problem from the worksheet elimination method worksheet.

**Question 3**

Solve the following system of linear equations by elimination-method

x + (y/2) = 4

(x/3) + 2 y = 5

First we have to make the given equations in the form of a x + by = c.For that we have to take L.C.M

2 x + y = 4 x 2

2 x + y = 8

x + 6 y = 5 x 3

x + 6 y = 15

2 x + y = 8 --------- (1)

x + 6 y = 15 --------- (2)

There are two unknowns in the given equations. By solving these equations we have to find the values of x and y. For that let us consider the coefficients of x and y in both equation. In the first equation we have + y and in the second equation also we have + 6y and the symbols are same so we have to subtract them for eliminating the variable y.

For that we have to multiply the first equation by 6 =>12x+6y=48

Subtract the second equation from first equation

12 x + 6 y = 48

x + 6 y = 15

(-) (-) (-)

----------------

11 x = 33

x = 33/ 11

x = 3

now we have to apply the value of x in either given equations to get the value of another variable y

Substitute x = 3 in the second equation we get

3 + 6 y = 15

6 y = 15 - 3

6 y = 12

Y =12/6

y =2

Solution:

x = 3

y = 2

**verification:**

2 x + y = 8

2(3) + 2 = 8

6 + 2 = 8

8 = 8 elimination method questions 3 elimination method questions 3

Solve each of the following system of equations by elimination-method.

- x + 2 y = 7 , x – 2 y = 1 Solution

- 3 x + y = 8 , 5 x + y = 10 Solution

- 11 x - 7 y = x y , 9 x - 4 y = 6 x y Solution

- 3/y + 5/x = 20/x y , 2/x + 5/ y = 15/x y Solution

- 8 x – 3 y = 5 x y , 6 x – 5 y = - 2 x y Solution

- 13 x+ 11 y = 70 ,11 x + 13 y = 74 Solution

- 65 x – 336 y = 97 , 33 x – 65 y = 1 Solution

- 15/ x + 2/y = 17 , 1/x + 1/y = 36/5 Solution

- 2/x + 2/3y = 1/6,3/x + 2/y = 0 Solution

- back to worksheet
- Solve by graphing method
- Solve by substitution
- Synthetic Division
- Rational Expressions
- Rational Zeros Theorem
- LCM -Least Common Multiple
- GCF-Greatest Common Factor
- Simplifying Rational Expressions
- Factoring Polynomials
- Factoring a Quadratic Equation
- Factoring Worksheets
- Framing Quadratic Equation From Roots
- Framing Quadratic Equation Worksheet
- Remainder Theorem
- Relationship Between Coefficients and roots
- Roots of Cubic equation
- Roots of Polynomial of Degree4
- Roots of Polynomial of Degree5

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