Question

(3,−6) is a solution to the system:+3=154+=6 true or false

Answer 1

Given:

`x+3y=15`
`4x+y=6`

To find whether (3, -6) is a solution to both equations, we can substitute the given values to both of the equation.

Equation 1: x + 3y = 15

Substitute (3, -6)

`x+3y=15`
`(3)+3(-6)=15`
`3-18=15`
`-15\\e15`

From here, we can already see that (3, -6) is not a solution to x + 3y = 15.

To check, let us also try substituting these values to the second equation.

Equation 2: 4x + y = 6

Substitute (3, -6)

`4x+y=6`
`4(3)+(-6)=6`
`12-6=6`
`6=6`

The second equation has (3, -6) as its solution. However, since it is a system of equations, both equation should have the same solutions.

Therefore, (3, -6) is not a solution to the given system. The answer would be false.