anonymous
  • anonymous
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the second equation is substituted into the first equation. 3x + 2y = -21 x - 3y = 4 Choose one answer. a. 3(3y + 4) + 2y = -21 b. 3(-3y + 4) + 2y = -21 c. 3x + 2(3y + 4) = -21 d. 3x + 2(-3y + 4) = -21 .
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.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Psymon
  • Psymon
So what we want to do is choose one of the two equations and then isolate one of the variables in that equation. Basically, get x or y by itself on one side of the equal sign. Given your two equations, it looks easiest to do this with the second one. So for the second one, we can get x all by itself by adding 3y to both sides. That will give us this: x = 4 + 3y Now we take this new found value of x and plug it into the other equation, replacing x with this value. Doing that looks like this: 3(4+3y) + 2y = -21. The x was completely replaced with the 4+3y value and put in parenthesis because we want this to be multiplication. So now I need to multiply this out and solve for y. This gives me: 12 + 9y + 2y = -21 12 + 11y = -21 11y = -33 y = -3 So this is how you would go about solving for one of the variables. Now that I know what y is, I can substitute this into either equation and solve for x. The second one looks like the easiest to do this with, so Ill replace y with -3 in the second one. That'll give me: x-3(-3) = 4 x + 9 = 4 x = -5 So that would be our x and y value and the point of intersection for this system, (-5,-3)

Looking for something else?

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