Question

Solve the system using elimination

13x - y = 3
X-6y = - 33
The solution is
(Type an ordered pair.)

Answer 1

`( (51)/(77) , (432)/(77) )`

Explanation:

13x - y = 3

x - 6y = - 33

Multiply both sides by - 13

13x - y = 3

- 13x - 78y = 429

Eliminate one variable by adding the equations

77y = 432

Divide both sides by 77

y =
`(432)/(77)`

Now to find x Substitute the given value of Y into the equation

`13x - (432)/(77) = 3`

`x = (51)/(77)`

`( (51)/(77) , (432)/(77) )`

Answer 2

13x - y = 3 .....(1)

x - 6y = -33 ......(2)

eqn (2) × 13

13x - 78y = -429 .....(3)

(3) - (1)

13x - 78y = -429

13x - y = 3

(-). (+). (-)

_________________

- 77y = 431

_________________

-77y = 431

y = 431 ÷ -77

y = -5.5