Question

— 5х + 13y = -7
5х + 4 = 24
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Answer 1

`x=4\ and \ y=1`

Explanation:

Given:

`-5x+13y=-7`

`5x+4y=24`

We need to find the values of 'x' and 'y'.

On solving the equation we get;

Let
`-5x+13y=-7 \ \ \ \ \ equation \ 1`

Also Let
`5x+4y=24 \ \ \ \ \ equation \ 2`

Now Adding equation 1 and equation 2 we get;

`(-5x+13y)+(5x+4y)=-7+24\\\\-5x+13y+5x+4y=17\\\\17y=17`

Now By using Division property we will divide both side by 17 we get;

`(17y)/(17)=(17)/(17)\\\\y=1`

Now Substituting the value of y in equation 1 we get;

`-5x+13y=-7\\\\-5x+13*1=-7\\`

Now Subtracting both side by 13 using subtraction property we get;

`-5x+13-13=-7-13\\\\-5x=-20`

Now By using Division property we will divide both side by -5 we get;

`(-5x)/(-5)=(-20)/(-5)\\\\x=4`

Hence
`x=4\ and \ y=1`