Question

(Timed) Solve the system of equations work shown

Answer 1

There are 2 ways to solve this system: by substitution or by graphing. I will solve this system using both.

Substitution Method

For x:

`y = (5)/(4)x - 2\\y = -(1)/(4)x + 19\\\\(5)/(4)x - 2 = -(1)/(4)x + 19\\\\(3)/(2)x - 2 = 19\\\\(3)/(2)x = 21\\\\x = 14`

For y:

`y = (5)/(4)(14) - 2\\\\y = 17.5 - 2\\\\y = 15.5`

Solution:

`(14, 15.5)`

Graphing Method

According to this graph, the solution will be
`(14, 15.5)`.