anonymous
  • anonymous
Please help me! Solve by substitution. Show each step of your work. 2x + y = 7 3x + 5y = 14
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
FortyTheRapper
  • FortyTheRapper
To substitute, we need to set these equations equal to each other. How would we do that?
anonymous
  • anonymous
We need to make them become one somehow.
anonymous
  • anonymous
I think we do to through combining like terms.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
*it
FortyTheRapper
  • FortyTheRapper
Right, lets try to get the y's by themselves
FortyTheRapper
  • FortyTheRapper
Like the first, how would you get the 2x by itself
anonymous
  • anonymous
Subtract it from both sides.
FortyTheRapper
  • FortyTheRapper
Right, so we have y = 7 - 2x. I recommend organizing it to y = -2x + 7 How about the second one?
anonymous
  • anonymous
For the second one, we need to subtract 3x from both sides. Does that mean we will have 5y = -3x + 14?
FortyTheRapper
  • FortyTheRapper
Exactly ^ But we want to get y by itself, so what would we do to get that 5 away from the y? (You did the opposite by subtracting a positive number, so the opposite of multiplication would work)
anonymous
  • anonymous
We should divide by 5.
FortyTheRapper
  • FortyTheRapper
Yes, so that would give you y = -3x + 14 -------- 5 So, now we want to set the two equations equal to each other, so you would get the first equation we found, put an equal sign, then put the second equation we found
anonymous
  • anonymous
So, what are we supposed to do next?
FortyTheRapper
  • FortyTheRapper
Alright, so setting them equal makes ite (-2x+7) = -3x + 14 -------- 5 So, the tedious part is, we have to do this one more time... get the numbers with x's and the numbers with no x's away from each other
FortyTheRapper
  • FortyTheRapper
As a quick run-through, I see you can, So basically you would multiply 5 on each sides, right? Since you're dividing by 5 to get (-10x + 35) = (-3x +14) Would you know the equation after getting the X variables and the whole numbers alone on each side?
anonymous
  • anonymous
I believe we could figure it out after that, but I don't know how to make the x variable and the whole numbers on their side alone.
FortyTheRapper
  • FortyTheRapper
You would do like the last step Note: Whole numbers are different from whole numbers with variables So for the left side, how would we get a ~~Positive~~ 35 to the other side? And for the right side, how would we get a ~~Negative~~ 3x to the other side?
anonymous
  • anonymous
I guess we need to bring the 35 over through addition and the 3x to the other side through subtraction.
FortyTheRapper
  • FortyTheRapper
Almost, they are flipped. You would subtract 35 since it's the opposite of positive and add 3x since it's negative Doing that gives you: -7x = 21 Now we solve for x, to get the x value to the actual answer
FortyTheRapper
  • FortyTheRapper
P.S. -- This seems long af, but it's not lol once you get the concept rolling
anonymous
  • anonymous
Okay, so x = -3 because -7 times -3 is positive 21.
FortyTheRapper
  • FortyTheRapper
Yes! That -3 is the x value using substitution. Now, we have to do one last step. We have to plug in -3 for x for each of the equations you stated in your original question and solve for y If the y value comes out to be the same for each equation, then we did this problem correctly
FortyTheRapper
  • FortyTheRapper
Aw damn, x is suppose to be 3, not -3
FortyTheRapper
  • FortyTheRapper
Because when you subtract 35 from each side, you get 14-35 which is -21 not +21, so it comes out to -7x=-21.. that's my fault
anonymous
  • anonymous
Well, I'll try with three this time. 2x + y = 7 3x + 5y = 14 2(3) + y = 7 3(3) + 5y = 14 6 + y = 7 9 + 5y = 14 6 + 1 = 7 9 + 5(1) = 14 .................. 9 + 5 = 14 That's correct then! y = 1
FortyTheRapper
  • FortyTheRapper
Yep! So through substitution, which it tedious x = -3, y = 1 Good job homie or homegurl, whichever one lol
anonymous
  • anonymous
Thank you for your help. Otherwise, I would have been here for ages.
FortyTheRapper
  • FortyTheRapper
No problem! This one was more complicated, since both x and y were missing. Anytime tho!

Looking for something else?

Not the answer you are looking for? Search for more explanations.