You buy a total of 50 turkey burgers and veggie burgers for $90. You pay $2 per turkey burger and $1.50
per veggie burger. WRITE and SOLVE a system of
linear equations to find the number y of veggie burgers that you buy.

There are 20 veggie burgers.

There are two ways you can solve this:

Let x represent turkey burger and y for veggie burger.

2x + 1.50y = 90
x + y = 50

Work:
-2(x + y = 50)
-2x + -2y = -100

2x + 1.50y = 90 << Add like terms
+ -2x + -2y = -100

-0.50y = -10 << Solve for y
y = 20



Let x represent turkey burger and y for veggie burger.

2x + 1.50y = 90
x + y = 50 << Solve for x

x = 50 - y << Plug in y for 2x + 1.50y = 90

2(50 - y) + 1.50y = 90
100 - 2y + 1.50y = 90
-0.50y = -10
y = 20