Question

in the equation 4x+y=3; 5x-4y=5,find the type of solution​

Answer 1

Answer:

linear equation in two variable

Answer 2

Solution

Given:-

• 4x + y = 3_____(1)
• 5x - 4y = 5_______(2)

Find :-

• Value of x & y

Explanation

Using Elimination Method

Multiply by 5 in equ (1) & 4 in equ(2)

• 20x + 5y = 15________(3)
• 20x - 16y = 20________(4)

Sub. equ(3) & equ(4)

==> 5y + 16y = 15 - 20

==> 21y = -5

==> y = -5/21

Keep Value of y in equ(3)

==> 20x + 5×(-5/21) = 15

==> 20x = 15 + 25/21

==> 20x = (15×21+25)/21

==> 20x = (315+25)/21

==> 20x = 340/21

==>x = 340/(21×20)

==> x = 17/21

Hence

• Value od x = 17/21
• Value of y = -5/21

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