Question

Simultaneous equations graphically x-3y= 1 ; 3x-2y+4=0

Answer 1

Step-by-step explanation:

Let's solve your system by substitution.

x−3y=1;3x−2y+4=0

Step: Solvex−3y=1for x:

x−3y=1

x−3y+3y=1+3y(Add 3y to both sides)

x=3y+1

Step: Substitute3y+1forxin3x−2y+4=0:

3x−2y+4=0

3(3y+1)−2y+4=0

7y+7=0(Simplify both sides of the equation)

7y+7+−7=0+−7(Add -7 to both sides)

7y=−7

7y

7

=

−7

7

(Divide both sides by 7)

y=−1

Step: Substitute−1foryinx=3y+1:

x=3y+1

x=(3)(−1)+1

x=−2(Simplify both sides of the equation)

Answer:

x=−2 and y=−1