Question

HELP ASAP I GIVE U BIG BRAIN AND 100 points!!Question 7

Solve the system of equations by elimination. Express the solution as an ordered pair.

3x−5y=11
x−4y=−8

Answer 1

(12, 5)

equations:

• 
  `\sf 3x-5y=11` ---- equation 1

• 
  `\sf x-4y=-8` ---- equation 2

To solve with elimination, either the x or y coefficient should be similar.

• so we will multiply 3 with the second equation.

Then,

`\sf 3x-5y=11`

`\sf 3x-12y=-24`

============== [ subtract equation 2 from equation 1 ]

`\sf 7y = 35`

`\sf y = 5`

For x,

`\sf 3x-5(5)=11`

`\sf 3x-25=11`

`\sf 3x=11+25`

`\sf x=(36)/(3)`

`\sf x=12`

In ordered pair: (x,y) → (12, 5)