Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

< < 5 6 7 8 9 10 11 12 Solve the following system of equations by the substitution m

Home/Math/< < 5 6 7 8 9 10 11 12 Solve the following system of equations by the substitution m

< < 5 6 7 8 9 10 11 12 Solve the following system of equations by the substitution m

Question

< < 5 6 7 8 9 10 11 12 Solve the following system of equations by the substitution method. 8x = 2y + 5 3x = y + 7 What is the solution set? ((-41/2. -9/2)) [(-9/2. -41/2)) ASK FOR HELP

## Answers ( )

Answer:( – , – )

Step-by-step explanation:Given the 2 equations

8x = 2y + 5 → (1)

3x = y + 7 → (2)

Rearrange (2) expressing y in terms of x by subtracting 7 from both sides.

y = 3x – 7 → (3)

Substitute y = 3x – 7 into (1)

8x = 2(3x – 7) + 5 ← distribute and simplify right side

8x = 6x – 14 + 5

8x = 6x – 9 ( subtract 6x from both sides )

2x = – 9 ( divide both sides by 2 )

x = –

Substitute this value into (3) for corresponding value of y

y = 3 × – – 7 = – – = –

Solution is (- , – )