Question

the solution to a system of linear equations is (-3, -3). Which system of linear equations has this point as its solution?

I'm being timed! ​

Answer 1

Answer:

x - 5y = 12 and 3x + 2y = -15

Step-by-step explanation:

$(-3,\ -3)\to x=-3,\ y=-3\\\\\text{Put the values of x and y to the equations and check equality:}\\\\x-5y=-12\\-3-5(-3)=-12\\-3+15=-12\\12=-12\qquad\bold{FALSE}\\\\x-5y=12\\-3-5(-3)=12\\-3+15=12\\12=12\qquad\bold{TRUE}\\\\3x+2y=-15\\3(-3)+2(-3)=-15\\-9-6=-15\\-15=-15\qquad\bold{TRUE}$

Answer 2

The system of linear equations has this point as its solution will be,x-5y=12 and 3x+2y=-15. Option C is correct.

What is the system of two equations?

A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.

The solution to a system of linear equations is (-3, -3).

x = -3

y= -3

After putting the value one by one in the given equations;

A)

$\rm x-5y=-12\\\\\ -3-5(-3)=-12\\\\-3+15=-12\\\\12\neq-12$

B)

$\rm x- 5y =12\\\\ -3-5(-3)=12\\\\-3+15=12\\\\12=12$

$\rm 3x+2y=-15\\\\3(-3)+2(-3)=-15\\\\ -9-6 =-15\\\\ -15=-15$

The system of linear equations has this point as its solution will be,x-5y=12 and 3x+2y=-15.

Hence, option C is correct.

To learn more about the system of two equations, refer to the link;

https://brainly.com/question/21620502

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