Final answer:
To solve the system of equations by substitution, isolate one variable in one equation and substitute it into the other equation. Simplify the equations and solve for the remaining variable.
Step-by-step explanation:
Solving the System of Equations by Substitution
Given the equation -6x + 4y = 2, we need to solve for x and y.
To solve the system of equations by substitution, we need to isolate one variable in one equation and substitute it into the other equation.
- Let's solve the first equation for x:
- -6x + 4y = 2
- -6x = 2 - 4y
- x = (2 - 4y)/(-6)
Substitute the value of x into the second equation:
- x = (2 - 4y)/(-6)
- 2x + y = 5
- 2((2 - 4y)/(-6)) + y = 5
After simplifying the second equation, solve for y.
Finally, substitute the value of y back into either equation to find the value of x.
Learn more about Solving systems of equations by substitution