Question

Graph the system of equations below on a piece of paper. What is the solution? TW y=x-1 y=-2x+5​

Answer 1

• y=x-1
• y=-2x+5

We will solve this through graphical way

Graph both equations

Solution is

• (2,1)

Graph attached

Answer 2

Given↷

A system of equations

• y= x-1
• y= -2x+5

To find↷

• The solution to the system of equations

Answer↷

• (2,1)

Solution↷

y = x -1 _ _ _ _ _ _(1)

y=-2x+5_ _ _ _ _ _(2)

• subtracting equation 2 from equation 1,

we get,

x -1 = y

-(-2x +5 = y)

__________

3x -6 = 0

3x = 6

x = 6/3

x = 2

___________

• Plugging the value of x in equation 1,

y= 2-1

y= 1

• hence, the solution of this system of equation is (2,1)