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2a + 3c = 5
a +2c=1
There is an ordered pair that is the solution of the system of equations shown. The value of one of the variables in the solution of the system can be obtained by using which of the following substitutions?
A) 2 (2c - 1) + 3c = 5, because a = 2c - 1.
B) 2 (1 - 2c) + 3c = 5, because a = 1 - 2c.
C) 2a + 3 (a - 1) = 5, because c = a - 1.
D) 2a +3(1 - a) = 5, because c = 1-a​

Respuesta :

377385

Answer:

A

Step-by-step explanation:

abidemiokin

The required system that can be obtained by substituting is

2 (1 - 2c) + 3c = 5, because a = 1 - 2c.

Given the system of equation;

2a + 3c = 5

a +2c=1

This system can be solved using the substitution method.

From equation 2:

  • a = 1 - 2c ...................... 3

Substitute equation 3 into 1 will give:

  • 2a + 3c = 5
  • 2 (1- 2c) + 3c = 5

Hence the required system that can be obtained by substituting is

2 (1 - 2c) + 3c = 5, because a = 1 - 2c.

Learn more on simultaneous equation here: https://brainly.com/question/16863577

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