Question

solve by using elimination.express answer as an ordered pair

2x-5y=-7
5x-3y=11

Answer 1

hint:
we can multiply the first equation by 5, so the new first equation is:
10x-25y=-35
next we can multiply the second equation by 2, so we get:
10x-6y=22
then we have this equivalent system:
\[\Large \left\{ \begin{gathered}
10x - 25y = - 35 \hfill \\
10x - 6y = 22 \hfill \\
\end{gathered} \right.\]
now, please subtract the second equation, from the first one, what equation do you get?

Answer 2

10x-19y=-13

Answer 3

hint:
if we do that subtraction, we can write this:
\[\Large \left( {10x - 25y} \right) - \left( {10x - 6y} \right) = - 35 - 22\]
please simplify

Answer 4

im confused im i supposed to subtract -35 and 22

Answer 5

yes!:
-35-22=-57

Answer 6

now, please simplify the left side

Answer 7

25y and 6y = -31

Answer 8

hint:
\[\Large \begin{gathered}
\left( {10x - 25y} \right) - \left( {10x - 6y} \right) = \hfill \\
\hfill \\
= 10x - 25y - 10x + 6y = ...? \hfill \\
\end{gathered} \]

Answer 9

-15-4=-19

Answer 10

what are -15 and -4 ?

Answer 11

you said 10x-25y

Answer 12

here is the right step:

Answer 13

oooo

Answer 14

so we get this equation:
\[\Large - 19y = - 57\]
please solve for y

Answer 15

3

Answer 16

correct!

Answer 17

now, please replace y with 3 into the first equation of the original system, what do you get?

Answer 18

15

Answer 19

yes! and Iwe gaet the subsequent equation:
\[\Large 2x - 15 = - 7\]
please solve for x

Answer 20

we*

Answer 21

4

Answer 22

correct! so the solution of your system is:
x=4
y=3

Answer 23

thank you for helping me i understand it now a little

Answer 24

:)