Question

Given a system of linear equations; explain your strategy for solving the system, show the math required to solve the problem, and show the solution as an ordered pair.

Y = 3X - 3

Y = 2X - 1

Answer 1

The solution is (x, y) = (2, 3)

Solution:

Given equations are:

y = 3x - 3 ------- eqn 1

y = 2x - 1 ---------- eqn 2

We can solve the equations by substitution method

In eqn 1, we have y equals 3x - 3

If we substitute this in place of y in eqn 2, we can get value of "x"

Substitute eqn 1 in eqn 2

3x - 3 = 2x - 1

Move the variables to one side and constants to other side

3x - 2x = -1 + 3

x = 2

Substitute x = 2 in eqn 1

y = 3(2) - 3

y = 6 - 3

y = 3

Thus the solution is (x, y) = (2, 3)