Question

What is the x and the y

Answer 1

`x=-1\\\\y=9`

Explanation:

Given Equations:

`14x+5y=31` Equation:1

`2x-3y=-29` Equation:2

Multiplying Equation:2 by '7' both sides:

`14x-21y=-203` Equation:3

Subtracting Equation:3 from Equation:1

`14x+5y-(14x-21y)=31-(-203)\\\\14+5y-14x+21y=31+203\\\\5y+21y=31+203\\\\26y=234`

Dividing by '26' both sides:

`y=234/26\\\\y=9`

Putting the value of 'y' in Equation:2

`2x-3(9)=-29\\\\2x-27=-29\\`

Adding '27' both sides:

`2x=-29+27\\\\2x=-2`

Dividing by '2' both sides:

`x=-1`

The values are:

`x=-1\\\\y=9`