Solve by Substitution y=3x , 4x-3y=20

Problem

{[y=3*x],[4*x−3*y=20])

Solution

1. Identify the given system of equations where the first equation y=3*x is already solved for y

2. Substitute the expression for y from the first equation into the second equation.

4*x−3*(3*x)=20

3. Simplify the equation by performing the multiplication.

4*x−9*x=20

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

−5*x=20

5. Solve for x by dividing both sides by −5

x=−4

6. Substitute the value of x back into the first equation to find y

y=3*(−4)

7. Calculate the final value for y

y=−12

Final Answer

(x,y)=(−4,−12)

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