find the solution
y = 4x and y + x = 5
4x + x = 5
x = 1
y = 4
To find the solution to the system of equations:
1. Begin by substituting the value of y from the first equation into the second equation.
- Replace y in the second equation with 4x to get: 4x + x = 5.
2. Simplify the equation by combining like terms:
- Combine the x terms: 5x = 5.
3. Divide both sides of the equation by 5 to solve for x:
- Divide both sides by 5: x = 1.
4. Now that you have the value of x, substitute it back into one of the original equations to solve for y.
- Use the first equation: y = 4(1).
- Simplify: y = 4.
Therefore, the solution to the system of equations is x = 1 and y = 4.