Question

Please help with these questions I don’t know how to do them at all

Answer 1

See below

Explanation:

1. Solve for y

• x = 0
• z = 5x + 3 ⇒ z = 5*0 + 3 = 3
• 4y + 6z = 26 ⇒ 4y + 6*3 = 26 ⇒ 4y = 26 - 18 ⇒ 4y = 8 ⇒ y = 2
• y = 2
• Option B

2. Solve for x

• -7x - y = 6 ⇒ y = -7x - 6
• x - 3y = 18 ⇒ x - 3(-7x - 6) = 18 ⇒ x + 21x + 18 = 18 ⇒ 22x = 0⇒ x = 0
• x = 0
• Option C

3. Solve for x

• y = -4
• z = 3x - 12
• 3x + 3y = -6 ⇒ 3x + 3(-4) = -6 ⇒ 3x = 12 - 6 ⇒ 3x = 6⇒ x = 2
• x = 2
• Option B

4.....................

• 0 = 1
• The equation is false so it means no solution

5......................

• 0 = 0
• The equation is true so it means infinitely many solutions