Question

What is the x and the y

Answer 1

Answer:

$x=-1\\\\y=9$

Step-by-step 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:

$x=-1\\\\y=9$