What is the solution of the system?Use either the substitution method or the elimination method.4x + 2y = 10x − y = 13A. (6, −7)B. There is no solution.C. (−7.5, 2)D. (3.5, −1)

The given system is:4x + 2y = 10.................Equation 1 x − y = 13......................Equation 2Let us use the method of substitution to solve this problem.To begin with, let us isolate x in the (Equation 2) as:x=13+y......................Equation 3Let us now plug in this value of x into (Equation 1). That will give us:4x+2y=4(13+y)+2y=1052+4y+2y=1052+6y=10Subtracting 52 from both sides, we get6y=-42[tex] \therefore y=\frac{-42}{6}=-7 [/tex]Now, inorder to find x, we will plug in y=-7 in (Equation 3):x=13+y=13-7=6Thus, Option A with the ordered pair (6,-7) is the correct option.