Question

Solve the system using elimination

Answer 1

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

Answer 2

Answer:

$( \frac{51}{77} , \frac{432}{77} )$

Step-by-step 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 = $\frac{432}{77}$

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

$13x - \frac{432}{77} = 3$

$x = \frac{51}{77}$

$( \frac{51}{77} , \frac{432}{77} )$