Solve by Substitution -2=x-3y , 2=y-2x

Problem

{[−2=x−3*y],[2=y−2*x])

Solution

1. Isolate the variable x in the first equation by adding 3*y to both sides.

x=3*y−2

2. Substitute the expression for x into the second equation.

2=y−2*(3*y−2)

3. Distribute the −2 into the parentheses.

2=y−6*y+4

4. Combine like terms on the right side of the equation.

2=−5*y+4

5. Solve for y by subtracting 4 from both sides and then dividing by −5

−2=−5*y

y=2/5

6. Substitute the value of y back into the isolated expression for x

x=3*(2/5)−2

7. Simplify the expression to find the value of x

x=6/5−10/5

x=−4/5

Final Answer

(x,y)=(−4/5,2/5)

Want more problems? Check here!