Question

Question #8c1f7

Answer 1

`a=5,b=4`

Explanation:

`3a+2b=23`
`5a-b=21`

• taken from second equation: `b=5a-21`
  plug this into first equation: `3a+2(5a-21)=23`
  simplify: `3a+10a-42=23`
  combine like terms: `13a=23+42`
  simplify: `13a=65`
  divide: `a=65/13`
  `a=5`
• now put that into the equation found for the second variable: `b=5(5)-21`
  simplify: `25-21=4`
  `b=4`