Question

Please Help!
How can one fifth x − 2 = one third x + 8 be set up as a system of equations? (6 points)


5y − 5x = −10
3y − 3x = 24
5y − 5x = −10
3y + 3x = 24
5y + x = −10
3y + x = 24
5y − x = −10
3y − x = 24

Answer 1

WELCOME TO OPENSTUDY

Answer 2

A problem expressed in words like this can be too much trouble for some potential helpers to decipher.

"How can one fifth x − 2 = one third x + 8 be set up as a system of equations?"
I'd suggest you enclose that "one fifth" inside parentheses:

(1/5)x - 2

and that you also enclose that "one third" likewise:

(1/3)x + 8

Set each of these expressions = to y.

Type out the resulting equations. These constitute your "system of linear equations."

Obviously, y = y, so set the two expressions above = to each other. This eliminates y. How would you then find x? How would you then find y?

Answer 3

You would eliminate to find 'y' and plug it in to find 'x' right?

Answer 4

yes

Answer 5

Actually, you'd do those two things in the reverse order: x first, y second.