Question

Check the picture and answer the question word problem

Answer 1

Answer:

30 T-shirts

Step-by-step explanation:

Given system of equations:

a) y = 3x + 210

b) y = 10x

• x = the number of T-shirts
• y = the total cost

1. Substitute the given value of y into y = 3x + 210:

⇒ 10x = 3x + 210

2. Solve for x:

⇒ 10x = 3x + 210 [subtract 3x from both sides]

⇒ 10x - 3x = 3x - 3x + 210

⇒ 7x = 210 [divide both sides by 7]

⇒ 7x ÷ 7 = 210 ÷ 7

⇒ x = 30 (# of T-shirts)

3. Find the value of y by substituting the given value of x into y = 10x:

⇒ y = 10(30) [multiply]

⇒ y = 300 (total cost of the T-shirts)

4. Check your work:

a) y = 3x + 210

⇒ 300 = 3(30) + 210

⇒ 300 = 90 + 210

⇒ 300 = 300 ✔

b) y = 10x

⇒ 300 = 10(30)

⇒ 300 = 300 ✔

∴ Sam needs to sell 30 T-shirts to break even.

Learn more about system of equations here:

brainly.com/question/13157348

brainly.com/question/27849342

Answer 2

Y = 3x + 210

y = 10x

Set the two equations equal to each other:

10x = 3x +210

Subtract 3x from both sides:

7x = 210

Divide both sides by 7:

x = 30

Answer: 30 shirts