Question

x+y=5,2x-y=4 solve this in graphical method

Answer 1

Let's solve your system by substitution.

x+y=5;2x−y=4

Step: Solve x+y=5 for x:

x+y=5

x+y+−y=5+−y(Add -y to both sides)

x=−y+5

Step: Substitute−y+5 for x in2x−y=4:

2x−y=4

2(−y+5)−y=4

−3y+10=4(Simplify both sides of the equation)

−3y+10+−10=4+−10(Add -10 to both sides)

−3y=−6

−3y/−3=−6/−3

(Divide both sides by -3)

y=2

Step: Substitute2foryinx=−y+5:

x=−y+5

x=−2+5

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=2

Graph :