3x+ 8y=12
2x+2y=3
part a: 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
part b: show that the equivalent system has the same soulution as the original system of equations

Question

3x+ 8y=12
2x+2y=3
part a: 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
part b: show that the equivalent system has the same soulution as the original system of equations

mathmale · Answer

I'll let you try this:
Multiply the 2nd equation by -4.
Now add the first and second equations together and solve for x.  Then find y.

anonymous · Answer

which number in the second equation do i multiply by -4

mathmale · Answer

You have three terms in the second equation; multiply every one of them by -4.  Otherwise you'd be changing the relationship given.

anonymous · Answer

so its -5+0y=0

mathmale · Answer

$$-4(2x+2y=3) = -8x-8y=-12.$$
Please add this whole equation to the other equation, and then solve the result for x.