Respuesta :

renknee

Answer:

a = 3

b = 2

Step-by-step explanation:

Solve 4a - b = 10 for b:

  • [tex]4a - b = 10[/tex]
  • [tex]4a - b - 4a = 10 - 4a[/tex] (Subtract 4a from both sides)
  • [tex]-b = -4a +10[/tex]
  • [tex]\frac{-b}{-1} = \frac{-4a+10}{-1}[/tex] (Divide both sides by -1)
  • [tex]b = 4a - 10[/tex]

Substitute 4a - 10 for b in 2a + 3b = 12

  • [tex]2a + 3b = 12[/tex]
  • [tex]2a + 3(4a-10)=12[/tex]
  • [tex]2a + 12a -30 = 12[/tex] (Simplifying)
  • [tex]14a - 30 = 12[/tex] (Simplifying
  • [tex]14a - 30 + 30 = 12 + 30[/tex] (Add 30 to both sides)
  • [tex]14a = 42[/tex]
  • [tex]\frac{14a}{14} = \frac{42}{14}[/tex] (Divide both sides by 14)
  • [tex]a = 3[/tex]

Substitute 3 for a in b = 4a - 10

  • [tex]b = 4a - 10[/tex]
  • [tex]b = 4(3) - 10[/tex]
  • [tex]b = 12 - 10[/tex]
  • [tex]b = 2[/tex]

Therefore, a = 3 and b = 2.