Question

(Timed) Solve the system of equations work shown

Answer 1

Answer:

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

Substitution Method

For x:

$y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14$

For y:

$y = \frac{5}{4}(14) - 2\\\\y = 17.5 - 2\\\\y = 15.5$

Solution:

$(14, 15.5)$

Graphing Method

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