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3 years ago

Solve |-x + 4 | = | 2x - 2| by graphing P/s: if possible show me how to do it T-T

Mathematics

1 answer:

sertanlavr [38]3 years ago

4 0

I always like to start by removing the absolute value signs. Solving the two equations, -x+4 = 2x-2 we get 6 = 3x, x = 2
If we test ±2 we get the following:
x = 2; | -(2) + 4 | = | 2(2) - 2 |, | 2 | = | 2 |, 2 = 2
Now we test
X = -2; | -(-2) + 4 | = | 2(-2) - 2 |, | 6 | = | -6 |, 6 = 6
Both +2 and -2 work.

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Answer:

(4, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equation using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

2x - 3y = 5

4x + 2y = 18

Step 2: Rewrite systems

2x - 3y = 5

y = 9 - 2x

Step 3: Solve for x

Substitute: 2x - 3(9 - 2x) = 5
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Step 4: Solve for y

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Substitute: 2(4) - 3y = 5
Multiply: 8 - 3y = 5
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Isolate y: y = 1

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