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(Timed) Solve the system of equations work shown

(Timed) Solve the system of equations work shown-example-1

1 Answer

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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 = (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).

(Timed) Solve the system of equations work shown-example-1
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