Question

Complete the equations so that the solution of the system of equations is (-3, 5).

y = __x - 10

3x - __y = -19

__ is the place where a number is supposed to be inserted. I need those numbers.

Answer 1

By substituting the point (-3, 5) into both equations, the completed systems are y = -5x - 10 and 3x - 2y = -19, respectively.

Step-by-step explanation:

To complete the equations so that the solution of the system of equations is (-3, 5), we need to find the appropriate coefficients that satisfy this condition. Let's examine the equations one by one:

For the first equation y = __x - 10, we can substitute the given solution's x and y values to find the missing coefficient. Substituting x = -3 and y = 5 gives us

1. 5 = __*(-3) - 10
2. Add 10 to both sides: 15 = __*(-3)
3. Divide both sides by -3: __ = -5

The completed first equation is y = -5x - 10.

For the second equation 3x - __y = -19, we use the same substitution method:

1. 3*(-3) - __*5 = -19
2. -9 - __*5 = -19
3. Add 9 to both sides: -__*5 = -10
4. Divide both sides by -5: __ = 2

The completed second equation is 3x - 2y = -19.