Question

I need help with a simultaneous equation using the graphical method.
EQUATION:
5x - 4y = 1
x + 2y = 3
plz explain thank you =)

Answer 1

Answer:

x=1 and y=1

Step-by-step explanation:

Let's solve your system by substitution.

5x−4y=1;1x+2y=3

Rewrite equations:

x+2y=3;5x−4y=1

Step: Solvex+2y=3for x:

x+2y=3

x+2y+−2y=3+−2y(Add -2y to both sides)

x=−2y+3

Step: Substitute−2y+3forxin5x−4y=1:

5x−4y=1

5(−2y+3)−4y=1

−14y+15=1(Simplify both sides of the equation)

−14y+15+−15=1+−15(Add -15 to both sides)

−14y=−14

−14y

−14

=

−14

−14

(Divide both sides by -14)

y=1

Step: Substitute1foryinx=−2y+3:

x=−2y+3

x=(−2)(1)+3

x=1(Simplify both sides of the equation)