Question

What is the x and the y

Answer 1

`x=5\\\\y=-8`

Explanation:

Given Equation:

`-7x-10y=45\\\\` Equation:1

`-3x-5y=25` Equation:2

Multiplying Equation:2 by '2':

`-6x-10y=50` Equation:3

Using Elimination Method: Subtracting Equation:1 from Equation:3:

`-6x-10y-(-7x-10y)=50-45`

`-6x-10y+7x+10y=5\\\\`

Solving Like terms:

`-6x+7x=5\\\\x=5`

Put the value of 'x' in Equation:2

`-3x-5y=25`

`-3(5)-5y=25\\\\-15-5y=25`

Adding '15' both sides:

`-5y=25+15\\\\-5y=40`

Dividing by '-5' both sides:

`y=40/-5\\\\y=-8`

The values of 'x' and 'y' are:

`x=5\\\\y=-8`