How do you solve the system of equations #2x + y = - 6# and #3x - y = - 9#?

Answer 1

See a solution process below:

Step 1) Solve the first equation for #y#:
#2x + y = -6#
#-color(red)(2x) + 2x + y = -color(red)(2x) - 6#
#0 + y = -2x - 6#
#y = -2x - 6#
Step 2) Substitute #(-2x - 6)# for #y# in the second equation and solve for #x#:
#3x - y = -9# becomes:
#3x - (-2x - 6) = -9#
#3x + 2x + 6 = -9#
#(3 + 2)x + 6 = -9#
#5x + 6 = -9#
#5x + 6 - color(red)(6) = -9 - color(red)(6)#
#5x + 0 = -15#
#5x = -15#
#(5x)/color(red)(5) = -15/color(red)(5)#
#(color(red)(cancel(color(black)(5)))x)/cancel(color(red)(5)) = -3#
#x = -3#
Step 3) Substitute #-3# for #x# in the solution to the first equation at the end of Step 1 and calculate #y#:
#y = -2x - 6# becomes:
#y = (-2 * -3) - 6#
#y = 6 - 6#
#y = 0#
The solution is: #x = -3# and #y = 0# or #(-3, 0)#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To solve the system of equations 2x + y = -6 and 3x - y = -9, you can use the method of elimination. Add the two equations together to eliminate y. Then solve for x. Once you find the value of x, substitute it back into either equation to solve for y.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7