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marin [14]
3 years ago
15

A method of solving a system of equations in which one variable is replaced by an expression using the other variable as a repre

sentation for that variable.
I need to know what this is called
Mathematics
2 answers:
9966 [12]3 years ago
7 0

Answer:

Substitution method.

Step-by-step explanation:

Using the substitution method is very easy, you have a system of equations like the next one:

x+y=7

x-y=3

So you clear one of them for one of the variable and then substitute that cleared variable in the other equation:

x=3+y

*x+y=7

*(3+y)+y=7

*3+2y=7

*2y=7-3

*2y=4

*y=2

That is hte method of substitution.

Tanya [424]3 years ago
3 0
I believe it is referred to as The Substitution Method.
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Solve 4x + 1 = 3 – 2x
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Answer:

x = 1/3

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4x + 1 = 3 - 2x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 2x on both sides:                    6x + 1 = 3
  2. Subtract 1 on both sides:                6x = 2
  3. Divide 6 on both sides:                   x = 1/3

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    4(1/3) + 1 = 3 - 2(1/3)
  2. Multiply:                        4/3 + 1 = 3 - 2/3
  3. Add/Subtract:               7/3 = 7/3

Here we see that 7/3 does indeed equal 7/3.

∴ x = 1/3 is a solution of the equation.

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