Question

the pair of equation 2x minus 5 Y + 4 equal to 0 and 2x + Y - 8 is equal to zero has​

Answer 1

Step-by-step explanation:

A. exactly 2 solution

B. infinity many solution

c. a unique solution

D. no solution

Answer

option C is correct a unique solution

Answer 2

The pair of equations has one unique solution; x= 3 and y=2.

Given:

• $2x - 5y + 4 = 0$ and
• $2x + y - 8 = 0$

To find:

• Find the solution of linear pair of equations.

Solution:

Methods to solve:

There are two methods of solution:

1. Graphical Method
2. Algebraic Method: There are three types

• Substitute Method
• Elimination Method
• Cross-Multiplication Method.

We are using Elimination Method to solve.

Step 1:

Rewrite the equations.

$2x - 5y = - 4...eq1 \\ 2x + y = 8...eq2$

Step 2:

Subtract both equations.

$2x - 5y = - 4 \\ 2x + y = 8 \\ ( - ) \: \: ( - ) \: \: \: ( - ) \\ - - - - - - - \\ - 6y = - 12 \\ - - - - - - -$

or

$6y = 12$

or

$\bf \red{y = 2}$

Step 3:

Put the value of y in eq2.

$2x + 2 = 8$

or

$2x = 8 - 2$

or

$2x = 6$

or

$\bf \red{x = 3}$

Thus,

The pair of equations has one unique solution; x= 3 and y=2.

Learn more:

1) 3x+14y=5xy

21y-x=2xy.

Kindly solve this pair of linear equation

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2) 3x+2y=8 and 2x-y=3 solve pair of linear equation by elimination method

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