Question

How do you solve the system of equations `y= \frac { 2} { 7} x - 9` and `y = \frac { 7} { 2} x + 8`?

Answer 1

There are many methods to use; but I would suggest to use substitution because you do not have to move the equations to their standard form.

Explanation:

Since both of the equations are equal to y, we can infer that they are the same and solve for x, and then plug in the x-value for the y-value. And you know it's going to have one solution because they are both linear.

`2/7x-9 = 7/2x+8`

`-45/14x=17`

`x=-238/45`