A student uses the substitution method to solve the system of equations below algebraically.

2x - y = 5
3x + 2y = -3

Which equivalent equation could be used?

a) 3x + 2(2x - 5) = -3
b) 3x + 2(5 - 2x) = -3
c) 3(y + 5/2) + 2y = -3
d) 3(5/2 - y) + 2y = -3

Question

A student uses the substitution method to solve the system of equations below algebraically.


2x - y = 5
3x + 2y = -3

Which equivalent equation could be used?

a) 3x + 2(2x - 5) = -3
b) 3x + 2(5 - 2x) = -3
c) 3(y + 5/2) + 2y = -3
d) 3(5/2 - y) + 2y = -3

jabberwock · Answer

The first thing you would do is solve the first equation for y.

jabberwock · Answer

Would you like help with that part, or can you do that?

dallaslifebaby01 · Answer

i put it into math way and got this y=2x-5

jabberwock · Answer

Yes.  Then you substitute that in for y in the second equation.

jabberwock · Answer

*you're taking out y and putting in (2x-5) in its place

dallaslifebaby01 · Answer

so i would be getting answer a?

jabberwock · Answer

That's right :)

dallaslifebaby01 · Answer

thank you so much!

jabberwock · Answer

No problem :)