For the equations given below, which statement is true? -2x=14 6x=-42 A. The equations do not have the same solution because the second equation can never be obtained when multiplying the first equation by any value. B. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −3. C. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by 3. D. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −4.

litanijblm

litanijblm

Answered question

2022-12-18

For the equations given below, which statement is true?
2 x = 14 6 x = 42
A. The equations do not have the same solution because the second equation can never be obtained when multiplying the first equation by any value.
B. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −3.
C. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by 3.
D. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −4.

Answer & Explanation

yem1ingsvd

yem1ingsvd

Beginner2022-12-19Added 5 answers

Statement B is true. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −3.
What is the equation?
A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Equation 1;
2 x = 14
Equation2;
6 x = 42
Multiply equation 2 on both sides by -3.
2 x = 14 2 x × 3 = 14 × 3 6 x = 42
Because the second equation can be found by multiplying both sides of the first equation by 3, the equations have the same solution.
Hence, statement B is true

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