How do you solve #-14= -20y - 7 # and #10y + 4 = 2x#?

Answer 1

#(x,y) = (15/4, 7/20)#

Given: [1]#color(white)("XXX")-14=-20y-7# [2]#color(white)("XXX")10y+4=2x#
Re-arranging [1] to solve for #y# [3]#color(white)("XXX")20y = 7# [4]#color(white)("XXX")y = 7/20#
Substituting #7/20# (from [4]) for #y# in [2] [5]#color(white)("XXX")10*(7/20)+4 = 2x#
[6]#color(white)("XXX")7/2+8/2 = 2x#
[7]#color(white)("XXX")x= 15/4#
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Answer 2

To solve the system of equations:

  1. Start by isolating the variable in one equation.
  2. Substitute the expression for that variable into the other equation.
  3. Solve the resulting equation for the remaining variable.
  4. Once you have found the value of one variable, substitute it back into one of the original equations to find the value of the other variable.
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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.

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