In this page elimination method questions 8 we are going to see solution of eight problem from the worksheet elimination method worksheet.

**Question 8**

Solve the following system of linear equations by elimination-method

65 x – 33 y = 97 , 33 x – 65 y = 1

**Solution:**

65 x – 33 y = 97 ------- (1)

33 x – 65 y = 1 ---------(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.

Adding first and second equation we get

98 x - 98 y = 98

Dividing whole equation by 98 we get x - y = 1 ------- (3)

Subtracting first and second equation we get

32 x + 32 y = 96

Dividing the whole equation by 32 = > x + y = 3 ------- (4)

x - y = 1

x + y = 3

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

2 x = 4

x =4/2

x = 2

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

Substitute x = 2 in the 3rd equation

2 - y = 1

- y = 1 – 2

- y = -1

y = 1

Solution :

x = 2

y = 1

**verification:**

65 x – 33 y = 97

65 (2) - 33 (1) = 97

130 - 33 = 97

97 = 97 elimination method questions 8 elimination method questions 8

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

- x + y/2 = 4 , x / 3 + 2 y = 5 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

- 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 Degree 4
- Roots of Polynomial of Degree 5

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