Question

Is (

–
5,
–
2) a solution to this system of equations?
y=
6
5
x+8
y=
3
5
x+1

Answer 1

The point (–5,–2) is not a solution to the given system of equations because when substituted into both equations, it does not satisfy either of them.

Step-by-step explanation:

To determine if the point (–5,–2) is a solution to the system of equations:

• y = 65x + 8
• y = 35x + 1

We substitute the x and y values from the point into both equations and see if they hold true.

For the first equation:

y = 65x + 8
–2 = 65(–5) + 8
–2 = –325 + 8
–2 = –317 (which is not true)

For the second equation:

y = 35x + 1
–2 = 35(–5) + 1
–2 = –175 + 1
–2 = –174 (which is not true)

As neither equation is satisfied by the point (–5, –2), it is not a solution to the system of equations.