Question

Solve the following system of equations algebraically: x + 4y = 2 y = 2x + 14

Answer 1

Answer:

x = -6

Step-by-step explanation:

You can insert the second equation in for the y-variable in the first equation

x + 4(2x+14) = 2

The next step is to distribute the 4

x + 8x + 56 = 2

Then we combine like terms

9x + 56 = 2

Subtract 56 from both sides

9x = -54

Divide by 9 on both sides

x = -6

Answer 2

Answer:

x = - 6; y = 2

Step-by-step explanation:

{x + 4y = 2

{y = 2x + 14

x = 2 - 4y

y = 2x + 14

y = 2(2 - 4y) + 14

y = 4 - 8y + 14

y + 8y = 14 + 4

9y = 18

y = 18/9

y = 2

x = 2 - 4y

x = 2 - 4×2

x = 2 - 8

x = - 6

I hope I've helped you.