substitution method
y=x+1
x+y=5
y=x+1
x+y=5
x + x + 1 = 5
2x = 4
x = 2
y = 2 + 1
y = 3
To solve the system of equations using the substitution method, we can follow these steps:
Step 1: Solve one equation for one variable. In this case, let's solve the first equation for y:
y = x + 1
Step 2: Substitute the expression for y in the second equation. Replace y with (x + 1) in the second equation:
x + (x + 1) = 5
Step 3: Simplify the equation:
2x + 1 = 5
Step 4: Solve for x:
2x = 5 - 1
2x = 4
x = 4/2
x = 2
Step 5: Substitute the value of x back into one of the original equations to solve for y. Let's use the first equation:
y = 2 + 1
y = 3
Therefore, the solution to the given system of equations is x = 2 and y = 3.