Question

Find the solution of the system of equations.
2x – 10y = -28
-10x + 10y = -20
GbA

Answer 1

The solution to the system of equations 2x – 10y = -28 and -10x + 10y = -20 is x = 6, y = -2.

Step-by-step explanation:

To solve the system of equations 2x – 10y = -28 and -10x + 10y = -20, we can add the equations together to eliminate the y variable. This gives us -8x = -48, which simplifies to x = 6. Substituting this value of x into one of the original equations, we find y = -2. Therefore, the solution to the system of equations is x = 6, y = -2.

Answer 2

(6, 4 )

Step-by-step explanation:

Given the 2 equations

2x - 10y = - 28 → (1)

- 10x + 10y = - 20 → (2)

Adding (1) and (2) term by term eliminates the term in y, that is

- 8x = - 48 ( divide both sides by - 8 )

x = 6

Substitute x = 6 into either of the 2 equations and evaluate for y

Substituting into (1)

2(6) - 10y = - 28

12 - 10y = - 28 ( subtract 12 from both sides )

- 10y = - 40 ( divide both sides by - 10 )

y = 4

Solution is (6, 4 )