Question

Solve the system of linear equations by graphing. y equals negative one half times x plus 2 y equals one half times x minus 1 negative 3 comma one half one half comma 3 one half comma negative 3 3 comma one half

Answer 1

5 1/2

i dont know what to do so im just answering qustions

Answer 2

Answer: The solution to the given system of linear equations is (5, -1/2).

Step-by-step explanation: The given the system of linear equations are y = -1/2 x+2 and y=1/2 x - 3.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here, y = -1/2 x+2 --------(1) and y=1/2 x - 3 --------(2)

Add equation (1) and (2)

y + y = -1/2 x+2 + 1/2 x - 3

⇒ 2y = -1

⇒ y = -1/2

Put y = -1/2 in y = -1/2 x+2, we get

-1/2 = -1/2 x+2

⇒ -1/2 x = -1/2 - 2

⇒ -1/2 x = -5/2

⇒ x = 5