Question

Solve the following system of linear equations x+5y=13 x-4y=-5

Answer 1

Answer:

hloo..

.

ubtract EQ 2 from 1

5y+4y=18

9y=18

y=2

substituting y in EQ 1 x+10=13

x=3

hope it helps you

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Answer 2

The solutions of the equations are

x = 3, y = 2

Step-by-step explanation:

The given linear equations are

$x+5y=13$   ..................... (1)

$x-4y=-5$    ...................... (2)

Solving the simultaneous linear equations by the method of substitution

From equation (2)

$x=-5+4y$    ........................ (3)

Putting the value of x in equation (1)

$-5+4y+5y=13$

$\implies 9y=18$

$\implies y=\frac{18}{9}$

$\implies y=2$

Therefore, from equation (3)

$x=-5+4\times 2$

$\implies x=-5+8$

$\implies x=3$

Therefore, the solutions of the equations are

x = 3, y = 2

Hope this answer is helpful.

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