Question

Graph the system below and write its solution.
-2x+y=-4
y=1/2x+2

Answer 1

x=4

and

y=4

Explanation:

let -2x+y=-4 ...1

y=1/2x+2 ...2

putting equation 2 in equation 1 we get,

-2x+(1/2x+2)=-4

opening the brackets we get,

-2x+1/2x+2=-4

(-4x+x)/2=-4-2

-3x/2=-6

-3x=-6×2

-3x=-12

x=-12/-3

x=4

putting value of x in equation 2

y=1/2(4)+2

y=2+2

y=4

hence, x=4 and y=4

Answer 2

(4, 4)

General Formulas and Concepts:

Algebra I

• Reading a Cartesian plane
• Coordinates (x, y)
• Graphing functions
• Solving systems of equations by graphing

Explanation:

Where the 2 graphs intersect would be the solution set to the systems of equations.