Question

4x+5y=13,2x-2y=2 all possible solution of pair linear equation solve the sum

Answer 1

-by substitution method.

4x+5y=13.....(1)×2

2x-2y=2......(2)×5

8x+10y=26

+

10x-10y=10

18x=36

x=2

place x=2 in eqn (1)

4x+5y=13

4×2+5y=13

8+5y=13

5y=13-8

5y=5

y=1

Therefore solution of (x,y) =(2,1)

Answer 2

The possible solution of linear equations are x=2 and y=1.

Step-by-step explanation:

Consider the provided equations.

$4x+5y=13$

$4x=13-5y$

$x=\frac{13-5y}{4}$

Now, substitute the value of x in $2x-2y=2$

$\begin{bmatrix}2\cdot \frac{13-5y}{4}-2y=2\end{bmatrix}$

$\frac{13-5y}{2}-2y=2$

$13-5y-4y=4\\13-9y=4\\-9y=-9\\y=1$

Substitute y=1 in $x=\frac{13-5y}{4}$

$x=\frac{13-5(1)}{4}$

$x=\frac{13-5}{4}$

$x=\frac{8}{4}$

$x=2$

Hence, the possible solution of linear equations are x=2 and y=1.

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