## Equations reducible to a pair of Linear Equations in two variables

A pair of linear Equations with two Variables is used to reduce equations and get values as one variable.

Equation reducible is reduced by simplifying the linear equation in two variables.

Linear equation can be simplified by using the same number of multiplying and divisions.

The solution of this pair of linear equations in two variables is one variable.

x + y = 40 → 1

2x - y = 20 → 2

Solution:

Solve the equation (1) for y,

y = 40 - x

Now we substitute 40 - x for y in the equation (2). This gives the equation one variable

2x - (40 - x) = 20

2x - 40 + x = 20

3x = 20 + 40

3x = 60

x = 20

Now substitute 18 for x in equation (2) and we solve for y.

2(20) - y = 40

40 - y = 20

- y = 20 - 40

- y = -20

y = 20.

The solution to the ordered pair(x, y) is (20, 20).

This is Equations reducible to a pair of

a+ b= 6 → 1

2a - b= 6 → 2

Sol:

Solve the equation (1) for b,

b = 6 - x

Now we substitute (6 - a) for b in the equation (2). This gives the equation one variable,

2a- (6- a) = 6

2a-6+a = 6

3a = 6+6

3a = 12

a = 4

Now substitute (4 for a) in equation (2) and we solve for b,

2(4) - b = 6

8 - b = 6

-b = 6 - 8

-b = -2

b = 2

The solution to the ordered pair (a, b) is (4, 2).

This is Equations reducible to a pair of linear equations with two variables.

Between, if you have problem on these topics

a+ b = 10

2a - b = 8

The answer of this linear equation (a, b) is (6, 4).

Equation reducible is reduced by simplifying the linear equation in two variables.

Linear equation can be simplified by using the same number of multiplying and divisions.

The solution of this pair of linear equations in two variables is one variable.

**Substitution method**also like as equations reducible.**Examples of pair of linear equations in two variables 1:**

Simplify the following linear equation with two variables:Simplify the following linear equation with two variables:

x + y = 40 → 1

2x - y = 20 → 2

Solution:

Solve the equation (1) for y,

y = 40 - x

Now we substitute 40 - x for y in the equation (2). This gives the equation one variable

2x - (40 - x) = 20

2x - 40 + x = 20

3x = 20 + 40

3x = 60

x = 20

Now substitute 18 for x in equation (2) and we solve for y.

2(20) - y = 40

40 - y = 20

- y = 20 - 40

- y = -20

y = 20.

The solution to the ordered pair(x, y) is (20, 20).

This is Equations reducible to a pair of

**linear equations**with two variables.**Examples of pair of linear equations in two variables 2:**

Simplify the following linear equation with two variables:Simplify the following linear equation with two variables:

a+ b= 6 → 1

2a - b= 6 → 2

Sol:

Solve the equation (1) for b,

b = 6 - x

Now we substitute (6 - a) for b in the equation (2). This gives the equation one variable,

2a- (6- a) = 6

2a-6+a = 6

3a = 6+6

3a = 12

a = 4

Now substitute (4 for a) in equation (2) and we solve for b,

2(4) - b = 6

8 - b = 6

-b = 6 - 8

-b = -2

b = 2

The solution to the ordered pair (a, b) is (4, 2).

This is Equations reducible to a pair of linear equations with two variables.

Between, if you have problem on these topics

**solving linear equations in one variable**, please browse expert math related websites for more help on**neet sample question papers**.**Practice problem for pair of linear equations in two variables:**

Simplify the following linear equation with two variables:Simplify the following linear equation with two variables:

a+ b = 10

2a - b = 8

The answer of this linear equation (a, b) is (6, 4).