Question

The system of equations y = –2x + 1 and y = x + 5 is shown on the graph below. On a coordinate plane, 2 lines intersect around (negative 1.3, 3.8). Which statement is true about the solution to the system of equations? The x-value is between –1 and –2, and the y-value is between 3 and 4. The x-value is between 3 and 4 , and the y-value is between –1 and –2. The x-value is between 1 and 2, and the y-value is between –3 and –4. The x-value is between –3 and –4, and the y-value is between 1 and 2.

Answer 1

-3,-4

Explanation:

sorry if it doesn't help

Answer 2

The x-value is between –1 and –2, and the y-value is between 3 and 4

Explanation:

We solve the equations by equating them.

y = -2x + 1 and y = x + 5. x is gotten when both are equal.

So, -2x + 1 = x + 5

-2x -x = 5 - 1

-3x = 4

x = -4/3 =
`-1(1)/(3)`

Substituting x into y = -2x + 1, we have

y = -2(-4/3) + 1

= 8/3 + 1

= (8 + 3)/3

= 11/3

=
`3(2)/(3)`

Since x =
`-1(1)/(3)` and y =
`3(2)/(3)` , the x-value is between –1 and –2, and the y-value is between 3 and 4