Question

Are the systems of equations equivalent? Explain.

4x+6y = 3
5x + 7y = 15
12x + 18y
5x + 7y
= 9
= 15
The first equation in the second system
in the first system. Thus, the systems
in the first system, and the second equation in the second system
equivalent.

Answer 1

The systems of equations are not equivalent because the coefficients of the variables are different in one of the equations.

Step-by-step explanation:

The systems of equations are not equivalent. In the first system, the equations are 4x + 6y = 3 5x + 7y = 15 In the second system, the equations are 12x + 18y = 9 5x + 7y = 15 In the first system, the coefficients of the variables are different in both equations. In the second system, the second equation is the same as the second equation in the first system, but the first equation is different. Therefore, the systems of equations are not equivalent.

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