Question

Medal+Fan if answered with explanation on how to do this thanks! Please! Help me!

Answer 1

3x+8y=12
2x+2y=3
1: Create an equivalent system of equations by replacing one equation with the sum of that equation and a multiple of the other. Show the steps to do this.
2: Show that the equivalent system has the same solution as the original system of equations.

Answer 2

@ml1042903 could you please help me? my friend said you were good and very helpful

Answer 3

hold up it might take a sec.

Answer 4

thats okay.

Answer 5

Sorry can't help. Try these websites:
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution/v/solving-systems-by-substitution-1

http://www.regentsprep.org/Regents/math/ALGEBRA/AE3/AlgSys.htm

Still trying though.

Answer 6

Thanks..

Answer 7

@DE3100

Answer 8

This would be very easy if the drawing tool was working D: even though I'm a lousy artist

Answer 9

I can do it step by step but it'll look messy lol Cx

Answer 10

Its fine.

Answer 11

So pick one equation and multiply it by a scalar. Can you do that?

Answer 12

I'll take the first equation,

I'll multiply every term by -2 to make the x's the same.

3x(-2)+8y(-2)=12(-2)

The new equation is -6x -16y = -24

For the other I'll multiply it by 3,

2x(3)+2y(3)=3(3)

6x +6y = 9
_________________________________________________

New equation:

{-6x -16y = -24
{ 6x +6y = 9

See that the x's cancel out?

Add them up, -10y = -15

-10y = -15
/-10 /-10

y = 1.5


Plug in y (1.5) to solve for x,

6x +6(1.5) = 9

6x + 9 = 9
-9 -9

6x = 0
/6 /6

x = 0

So check my plugging in,

6(0) + 6(1.5) = 9
0 + 9 = 9

9 = 9 <-- this is true

Now try this on the original equation, your pair is (0,1.5)

3(0)+8(1.5)=12
0 + 12 = 12

12 = 12 <-- true

Answer 13

By plugging in (0,1.5) into one of the equation it should give you a true statement :3

Answer 14

Thank you so much!!!!

Answer 15

You welcome :*

Answer 16

Yea thanks @tHe_FiZiCx99 she really needed the help :)

Answer 17

>.< k