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Two equations are shown:
• Equation 1: 3/4(x– 12) = 12
Equation 2: 3/4y - 12 = 12
.
Solve each equation. Then, enter a number in each box to make this statement true.
The value of x is:
The value of y is:

Respuesta :

Answer:

The value of x is: 28

The value of y is: 32

Step-by-step explanation:

Let us solve the question

[tex]\frac{3}{4}[/tex] (x - 12) = 12 ⇒ (1)

→ Multiply each term in the bracket by [tex]\frac{3}{4}[/tex]

∴  [tex]\frac{3}{4}[/tex] (x) -  [tex]\frac{3}{4}[/tex] (12) = 12

∴  [tex]\frac{3}{4}[/tex] x - 9 = 12

→ Add 9 to each side

∵  [tex]\frac{3}{4}[/tex] x - 9 + 9 = 12 + 9

∴  [tex]\frac{3}{4}[/tex] x = 21

→ Divide both sides by  [tex]\frac{3}{4}[/tex]  to find x

x = 28

[tex]\frac{3}{4}[/tex] y - 12 = 12 ⇒ (2)

→ Add 12 to both sides

∴  [tex]\frac{3}{4}[/tex] y - 12 + 12 = 12 + 12

∴  [tex]\frac{3}{4}[/tex] y = 24

→ Divide both sides by  [tex]\frac{3}{4}[/tex] to find y

y = 32