Question

Solve the system using substitution:

x - 3 = y
4x - 9 = y

Answer 1

First, solve one of the equations for one variable in terms of the other:

From the first equation, we have: y = x - 3.

Next, substitute this expression for y into the second equation:

4x - 9 = x - 3.

Simplify the equation:

3x - 9 = -3.

Add 9 to both sides:

3x = 6.

Divide both sides by 3:

x = 2.

Now substitute this value of x back into the first equation to solve for y:

y = 2 - 3.

y = -1.

Therefore, the solution to the system of equations is x = 2 and y = -1.