Solve by Substitution 6x-y=5 , 3x+y=4

Problem

{[6*x−y=5],[3*x+y=4])

Solution

1. Isolate a variable in one of the equations. From the second equation, 3*x+y=4 solve for y by subtracting 3*x from both sides.

y=4−3*x

2. Substitute the expression for y into the first equation, 6*x−y=5

6*x−(4−3*x)=5

3. Distribute the negative sign and combine like terms to solve for x

6*x−4+3*x=5

9*x−4=5

9*x=9

x=1

4. Substitute the value of x back into the expression for y to find the second coordinate.

y=4−3*(1)

y=4−3

y=1

Final Answer

(x,y)=(1,1)

Want more problems? Check here!