Question

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

Answer 1

Answer:

x = 1$\frac{1}{6}$, y = 3$\frac{2}{3}$

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 = $\frac{7}{6}$

x = 1$\frac{1}{6}$

Substitute x = $\frac{7}{6}$ into Equation 2:

y = 4x - 1

y = 4($\frac{7}{6}$) - 1

  = 4$\frac{2}{3}$ - 1

y = 3$\frac{2}{3}$