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

Answers

x = 3 ± √(5+y)

idk

step-by-step explanation:

y = -3

x = \frac{1}{2}

Step-by-step explanation:

4(y + \frac{7}{2}) - 2y = 8  Distribute the 4.  Multiply everything in the parentheses by 4

4y + 14 - 2y = 8           4(\frac{7}{2}) = \frac{28}{2} = 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 = \frac{2}{4} = \frac{1}{2}

Check:

x = y + \frac{7}{2}

\frac{1}{2} = -3+ \frac{7}{2}

\frac{1}{2} = \frac{-6}{2} + \frac{7}{2}

\frac{1}{2} = \frac{1}{2}

4x - 2y = 8

4(\frac{1}{2}) - 2(-3) = 8

2 + 6 = 8

8 = 8



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