How do you solve the system by graphing #4x - 2y = -12# and #2x + y = -2#?

Answer 1

#x=-2#, #y=2#

To solve #x# and #y# in #2# or more functions, you are actually finding #x# and #y# values which satisfy all the functions.
In other words, you are finding the intersections of the functions since at intersections, the functions are having the same value for #x# and #y#

In this case, I have plotted the functions on the same plane.

The intersection point (in this case only #1#) has the coordinate (-2,2)
#:.# #x=-2#, #y=2#

graph{(4x-2y+12)(2x+y+2)=0 [-7.9, 7.9, -3.94, 3.96]}

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 by graphing, first graph each equation on the same coordinate plane. Then, find the point where the two lines intersect, which represents the solution to the system. In this case, the solution is the point where the graphs of the lines 4x - 2y = -12 and 2x + y = -2 intersect.

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