Question

FAN+MEDAL SUPER EASY

2x + 3y = -17 is one equation in a coincidental system of two linear equations. The other equation is_______________ y =_____________ x – 102.

Answer 1

still need help

Answer 2

First of all, what does "coincidental" mean in this context? Have you looked up this word?

Answer 3

@mathmale yeah but i still don’t get it

Answer 4

First of all, what does "coincidental" mean in this context?

Answer 5

@calculusxy

Answer 6

@mathmale happening by or resulting from coincidence? lmao

Answer 7

What does this word mean in the context of algebra / geometry?

Answer 8

@TheSmartOne

Answer 9

Coincidental system of two linear equations, when graphed, will be placed on the same line--in other words, they have infinite common points.

Answer 10

You need another equation that will be equivalent to 2x + 3y = -17

Answer 11

One strategy that I usually utilize during these situations to get an equivalent equation is that I multiply all of the terms by a certain number. In this case, we can multiply it by 2.

\(2(2x + 3y = -17)\) which would equal to \(4x + 6y = - 34\)

You would have two linear equations that are coincidental:
\(2x + 3y = -17\)
\(4x + 6y = -34\)

To check, you can graph them.