Approximate the solution to this system of equations. y = –2x + 6 y = 4x – 1

x = 1, y = 3

Step-by-step explanation:

y = -2x + 6 --- Equation 1

y = 4x - 1 --- Equation 2

Since both (-2x + 6) and (4x - 1) have the same total, y, they are equal.

-2x + 6 = 4x - 1

Isolate the like terms.

6 + 1 = 4x + 2x

Evaluate like terms.

6x = 7

Find x.

x =

x = 1

Substitute x = into Equation 2:

y = 4x - 1

y = 4() - 1

  = 4 - 1

y = 3

-2

7 - 9 = -2

reversed:

-2 + 9 = 7