Question

For the equations 3x + 2y = 16 and 2x + 3y = 14, what is the value of ( x - y ) ?​

Answer 1

Solution

Given :-

• 3x + 2y = 16________(1)
• 2x + 3y = 14________(2)

Find :-

• Value of (x - y)

Explanation

First, Multiply by 2 in equ(1)

• 6x + 4y = 32_______(3)

Now, multiply by 3 in equ(2)

• 6x + 9y = 42________(4)

Subtract equ(3) & (4)

==> 4y - 9y = 32 - 42

==> -5y = -10

==> y = 10/5

==> y = 2

keep in equ(3)

==> 6x + 4×2 = 32

==> 6x = 32 -8

==> 6x = 24

==> x = 24/6

==> x = 4

Hence

• Value of x be = 4.
• Value of y be = 2.

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Now, Calculate (x - y)

keep value of x & y.

= ( 4 - 2)

= 2.

Since

• Value of ( x - y) = 2.

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