In this page elimination method questions 2 solution we are going to
see solution of first problem from the worksheet elimination method
worksheet. elimination method questions 2

**Question 2**

Solve the following system of linear equations by elimination-method

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

**Solution:**

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

5 x + y = 10 --------- (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 + y and the symbols are same so we have to subtract them for eliminating the variable y.

Subtracting (2) from (1) we get

3 x + y = 8

5 x + y = 10

(-) (-) (-)

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

- 2 x = -2

x = -2/ (-2)

x = 1

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

Substitute x = 1 in the first equation we get

3 (1) + y = 8

y = 8 – 3

y = 5

Solution:

x = 1

y = 5

**verification:**

3 x + y = 8

3(1) + 5 = 8

3 + 5 = 8

8 = 8 elimination method questions 2

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

- x + 2 y = 7 , x – 2 y = 1 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

- 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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