Solve the system of equations x – 2y = -19 and - 3x + 5y = 48 by combining
the equations.

x= -1

y = 9

Step-by-step explanation:

to solve this system of equation

let

x - 2y = -19equation 1

-3x + 5y = 48 equation2

from equation 1

x - 2y = -19equation 1

x = -19 + 2y equation 3

substitute the value of x into equation 2

-3x + 5y = 48 equation2

-3(-19 + 2y) + 5y = 48

57 - 6y + 5y = 48

combine the like terms

-6y + 5y = 48 -57

-y = - 9

divide both side by -

y = 9

put y= 9 into equation 3

x = -19 + 2y equation 3

x = -19 + 2(9)

x = -19 + 18

x = -1

therefore the value of x and y is -1 and 9 respectively