Question

2x - 5y =14
x + 2y =-2
Solve by cross multiplication.

Answer 1

The value of x and y

x = 2 and y = -2

Step-by-step explanation:

Equations 2 x-5 y-14=0

                  x+2y +2 = 0

Equations are

       $a_{1} x +b_{1} y + c_{1} = 0$

       $a_{2} x + b_{2} y + c_{2} = 0$

comparing

$a_{1} = 2 , b_{1} = -5 , c_{1} = -14\\a_{2} = 1 ,b_{2} = 2 , c_{2} = 2$

 $x = \frac{b_{1 }c_{2} - b_{2} c_{1} }{a_{1}b_{2} -a_{2} b_{1} }$

Putting the values

$x=\frac{(-5)(2) - (2) (-14)}{(2)(2) - (1)(-5)}$

X =$\frac{-10 + 28}{4+5}$

X = 2

$Y = \frac{c_{1}a_{2}-c_{2} a_{1} }{a_{1} b_{2}-a_{2}b_{1} }$

Y = $\frac{(-14)(1)-(2)(2)}{(2)(2)-(1)(-5)}$

Y = $\frac{-14-4}{4+5}$

Y= -2

Answer 2

Step-by-step explanation:

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