Question

The ordered pair (1, -5) is a solution for the system x + 2y = -9 and x - y = 6.

Answer 1

Which of the following is a solution for the system y = -3x + 5 and y = 2x + 5?
Answer

(1, 7)

(5, 0)

(2, -1)

(0, 5)

Answer 2

Hello, in order to find out if you have a solution the a system of equations, you must take each term and plug it in to the slope-intercept equations and see if the end result is true or false. I will do the first one for you

Lets plug in (1, 7)
x = 1, y = 7
y = -3x + 5
7 = -3(1) + 5
7 = -3 + 5
7 = 2

This is false because seven does not equal two.

x - y = 6
-y = -x + 6
y = x - 6
7 = 1 - 6
7 = -5

This is also false.

7 = 7, not -5.

Do the same thing for the rest of the points.

Answer 3

Thanks! could you help me with this one to please? Is the system consistent or inconsistent? y = -1/2x - 1 and y = 3x + 3

Answer 4

Sorry - I am not familiar with those type of mathematics.

Answer 5

Which system has a solution in which the x value is greater than one?




y = -2/3 x and y = 3x - 3

y = 3x + 2 and y = -1/4 x + 1

y = -1/4 x + 1 and y = -2/3 x

y = 3x + 2 and y = -2/3 x