Solve this system of linear equation 7x+11y=-2

7x+3y=30

x = 5.2

y = 3.5

Step-by-step explanation:

in order to solve the linear equation simultaneous we say

let

7x+11y=-2 ... equation 1

7x+3y=30 ... equation 2

from equation 1

7x+11y=-2 ... equation 1

7x = 2 - 11y

divide both sides by the coefficient of x which is 7

7x/7 = 2 - 11y / 7

x = (2 - 11y) / 7 ... equation 3

put equation 3 into equation 2

7x+3y=30 ... equation 2

7[ (2 - 11y) / 7 ] + 3y = 30

2 - 11y + 3y = 30

2 - 8y = 30

-8y = 30-2

-8y = 28

divide both side by - 8

-8y/-8 = 28/-8

y = 3.5

put the value of y in equation 3

x = (2 - 11y) / 7 ... equation 3

x = (2 - 11 (3.5) ] / 7

x = 2 - 38.5/7

x = 36.6/7

x = 5.2