Question

Jayden and Carson are selling T-shirts and sweatshirts for a fundraiser. Jayden sells 9 T-shirts and 3 sweatshirts for $420. Carson sells 1 T-shirt and 6 sweatshirts for $296. Solve the system of equations for this situation.using elimination

Answer 1

x = 32

y = 44.

Explanation:

x = 32

y = 44.

Answer 2

Let x = cost of one t-shirt

Let y = cost of one sweatshirt

Jayden: 9x + 3y = $420

Carson: x + 6y = $296. Multiply Jayden's equation by -2

Jayden: -18x - 6y = $-840

Carson: x + 6y = $296. Add the equations together to eliminate variable y.

New equation: -17x = $-544. Divide each side by -17.

x = $32. Plug this value into one of the original equations.

32 + 6y = $296. Subtract 32 from each side.

6y = 264. Divide each side by 6.

y = 44.

Plug both your x and y value into one of the equations to ensure they're correct.

9(32) + 3(44) = 420

420 = 420.

x = 32

y = 44.