Question

Y = A system of equations. Y equals StartFraction 2 over 3 EndFraction x plus 1. Y equals negative StartFraction 2 over 3 EndFraction x minus 1x + 1 and y = x – 1

Answer 1

To solve the system of equations, you can substitute the value of y in terms of x from the third equation into the first two equations.

Step-by-step explanation:

The system of equations given is:

Y = ½x + 1

Y = -½x - x + 1

y = x - 1

To solve these equations, we can substitute the value of y in terms of x from the third equation into the first two equations:

Substituting y = x - 1 into Y = ½x + 1:

Y = ½(x - 1) + 1

Simplifying, we get:

Y = ½x - ½ + 1

Substituting y = x - 1 into Y = -½x - x + 1:

Y = -½(x - 1) - (x - 1) + 1

Simplifying, we get:

Y = -½x + ½ + 1

Therefore, the system of equations can be simplified to:

Y = ½x - ½ + 1

Y = -½x + ½ + 1