What is the solution of the system of equations?

5x + 4y = - 22

2x - 3y = 5

y = 3

x = 7

Step-by-step explanation:

to solve this system of equations using substitution method we say, let

5x + 4y = - 22 ... equation 1

2x - 3y = 5 ... equation 2

from equation 2

2x - 3y = 5

2x = 5 + 3y

divide both sides by 2

we have;

2x/2 = (5+3y) / 2

x = (5+3y) / 2 ... equation 3

put x = (5+3y) / 2 in equation 1

5x + 4y = - 22 ... equation 1

5 (5+3y) / 2 + 4y = - 22

(25 + 15y) / 2 + 4y = - 22

multiply through by 2

25 + 15y + 8y = - 44

25 + 23y = - 44

collect the like terms

23y = - 44 - 25

23y = - 69

divide both sides by 23

23y/23 = - 69/23

y = 3

put the value of y = 3 into equation 3

x = (5+3y) / 2 ... equation 3

x = (5+3 (3) ]/2

x = 5+9/2

x = 14/2

x = 7