Question

The system of equations y = one-fourth x minus 5 and y = negative one-half x minus 3 is shown on the graph below. On a coordinate plane, 2 lines intersect around (2.8, negative 4.2). Which statement is true about the solution to the system of equations? The x-value is between 2 and 3, and the y-value is between –4 and –5. The x-value is between –4 and –5, and the y-value is between 2 and 3. The x-value is between –2 and –3, and the y-value is between 4 and 5. The x-value is between 4 and 5, and the y-value is between –2 and –3.

Answer 1

A its a

Explanation:

Answer 2

The x-value is between 2 and 3, and the y-value is between –4 and –5

Explanation:

The system of equations:

y = 1/4x - 5

y = -1/2x - 3

is shown in the figure attached. There it can be seen that the solution is (2.667, -4.333). This can be corroborated as follows:

y = 1/4(2.667) - 5 = -4.333

y = -1/2(2.667) - 3 = -4.333