Question

{
5x−y=19
13x−3y=51
​
Can anybody help me to understand this equation ASAP

Answer 1

×=-3

y=-4

Explanation:

13×-3y=51

(-) 5×-y=19

-5×+y=-19

13×-3y=51

8×-2y=32

2/8x-2y=32

4x-y=16

4×-y=16

-5×+y=-19

-×=-3

×=3

Answer 2

x = 3
y = -4
(3,-4)

Explanation:

Hello!

We can use the Elimination Method to solve the system.

To eliminate, we want atleast one variable to have the same coefficients on both equations. To do that, we can multiply the first equation by 3 to get -3y.

• 
  `5x - y = 19`
• 
  `3(5x - y = 19)`
• 
  `15x - 3y = 57`

Now, we can vertically subtract them to eliminate -3y.

• 
  `-\left \{ {{15x - 3y = 57} \atop {13x - 3y = 51}} \right.`
• 
  `2x + 0 = 6`

Solve for x

• 
  `2x + 0 = 6`
• 
  `2x = 6`
• 
  `x = 3`

The value of x is 3.

To solve for y, we can plug in 3 into the original first equation and solve for y.

Solve for y

• 
  `5x - y = 19`
• 
  `5(3) - y = 19`
• 
  `15 - y = 19`
• 
  `-y = 4`
• 
  `y = -4`

The value of y is -4.

The solution to the system is (3,-4).