Solve the system of equations below using the substitution method. x = y + 7 / 2 4x − 2y = 8

y = -3

x =

Step-by-step explanation:

4(y + ) - 2y = 8  Distribute the 4.  Multiply everything in the parentheses by 4

4y + 14 - 2y = 8           4 = = 14  Combine the like terms 4y and -2y

2y + 14 = 8         Subtract 14 from both sides

2y =  -6               Divide both sides by 2

y = -3  

Plug -3 in for y in either original equation.

4x - 2y = 8

4x -2(-3) = 8

4x + 6 = 8    Subtract 6 from both sides

4x = 2  Divide both sides by 4

x = =

Check:

x = y +

= -3+

= +

=

4x - 2y = 8

4() - 2(-3) = 8

2 + 6 = 8

8 = 8

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: