Question

Which of the following systems of linear equations is represented by the graph of the first two equations given in the question?

(A) 8-0.9x=0.4y, -y+0.3x=1.6
(B) 0.9x+0.4y=8, x-0.3y=-1.6
(C) -0.9x-0.4y=-8, x+0.3y=-1.6
(D) None of the above

Answer 1

The system of linear equations represented by the graph of the first two equations is (B) 0.9x + 0.4y = 8, x - 0.3y = -1.6.

Step-by-step explanation:

To determine which system of linear equations is represented by the graph of the first two equations, we need to compare the given systems with the equations in question. The first two equations given are y = 9 + 3x and y + 7 = 3x. Let's compare them to the options:

1. A. The first equation in this option is 8 - 0.9x = 0.4y, which is not the same as y = 9 + 3x. Therefore, this option is not correct.
2. B. The second equation in this option, x - 0.3y = -1.6, can be rearranged as -0.3y = -x - 1.6, which is equivalent to y + 7 = 3x. Therefore, this option is correct.
3. C. The first equation in this option, -0.9x - 0.4y = -8, is not the same as y = 9 + 3x. Therefore, this option is not correct.
4. D. None of the equations in this option match y = 9 + 3x or y + 7 = 3x. Therefore, this option is not correct.

Therefore, the correct answer is (B) 0.9x + 0.4y = 8, x - 0.3y = -1.6.