Question

Which ordered pair satisfies both 3x - 2y = -11 and 5x + y = -1?

Answer 1

To find the ordered pair that satisfies both equations, we can use the method of substitution. The ordered pair that satisfies both equations is (-1, 4).

Step-by-step explanation:

To find the ordered pair that satisfies both equations, we can use the method of substitution. We can solve one of the equations for one variable and substitute it into the other equation.

Let's solve the second equation for y:

5x + y = -1

y = -5x - 1

Now substitute this value of y into the first equation:

3x - 2(-5x - 1) = -11

3x + 10x + 2 = -11

13x + 2 = -11

13x = -13

x = -1

Substituting this value into the second equation, we get:

5(-1) + y = -1

-5 + y = -1

y = 4

Therefore, the ordered pair that satisfies both equations is (-1, 4).