Question

3. Solve using substitution. x - y = 4 3x - 2y = -5

Answer 1

Given:

The system of linear equations are $x-y=4$ and $3x-2y=-5$

We need to determine the solution to the system of equations using substitution method.

Solution:

The solution can be determined using the substitution method.

Let us substitute $x=4+y$ in the equation $3x-2y=-5$

Thus, we have;

$3(4+y)-2y=-5$

$12+3y-2y=-5$

          $12+y=-5$

                  $y=-17$

Thus, the value of y is -17.

Substituting $y=-17$ in the equation $x-y=4$, we get;

$x+17=4$

       $x=-13$

Thus, the value of x is -13.

Hence, the solution to the system of equations is (-13,-17)