Question

Substitution method
x+y=4
x=2y+1

Answer 1

To solve this system of equations using the substitution method, we first solve one of the equations for one variable and substitute it into the other equation.

From the second equation, x = 2y + 1. We can substitute this value of x into the first equation.

x + y = 4

(2y + 1) + y = 4

3y + 1 = 4

Now, we solve this equation for y.

3y = 4 - 1

3y = 3

Dividing both sides by 3:

y = 1

Now, substitute this value of y back into x = 2y + 1.

x = 2(1) + 1

x = 2 + 1

x = 3

So, the solution to the system of equations x + y = 4 and x = 2y + 1 is x = 3 and y = 1.