Question

solve for x and y. 5x-4y=-14. 3x+2y=-4​

Answer 1

SOLUTION:-

Given:

Equation,

5x -4y= -14..........(1)

3x +2y= -4...........(2)

To find:

The value of x & y.

Now,

From equation (1), we get;

5x -4y =-14

=) 5x = -14 + 4y

=) x = -14+4y/5.......(3)

So,

Eliminate the value of x in equation (2)* we get;

$= > 3( \frac{ - 14 + 4y}{5} ) + 2y = - 4 \\ \\ = > \frac{ - 42 + 12y}{5} + 2y = - 4 \\ \\ = > - 42 + 12y + 10y = - 20 \\ \\ = > - 42 + 22y = - 20 \\ \\ = >22y = - 20 + 42 \\ \\ = > 22y = 22 \\ \\ = > y = \frac{22}{22} \\ \\ = > y = 1$

Therefore,

Put the value of y in equation (3), we get;

$x = \frac{ - 14 +4(1)}{5} \\ \\ = > \frac{ - 14 + 4}{5} \\ \\ = > \frac{ - 10}{5} \\ \\ = >x = - 2$

Hence,

The value of x = -2 & y= 1

Hope it helps ☺️