Solve this system of linear equations. Separate

the x - and y-values with a comma.

4x + 13y = - 43

2x-3y=7

x = 2.47, y = - 0.68

Step-by-step explanation:

let

4x + 13y = - 43 ... equation 1

2x - 3y = 7 ... equation 2

using substitution method

from equation 2

2x - 3y = 7

2x = 7 + 3y

divide both sides by 2

2x/2 = 7 + 3y/2

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

put x = x = 7 + 3y / 2 in equation 1

4x + 13y = - 43

4 (7 + 3y/2) + 13y = - 43

2 (7 + 3y) + 13y = - 43

12 + 6y + 13y = - 43

19y = - 43 + 12

19y = - 31

y = - 31/19 or - 0.68

put y = - 0.684 in equation 3

x = 7 + 3y / 2

x = 7 + 3 (-0.684) / 2

x = 7 - 2.05 / 2

x = 4.947/2

x = 2.47