Question

What is the solution to the system of equations graphed below?

33 30 27 24
y=-4x+ 33
y= x-1
18 15 8 3 10
a. (6,9)
b. (3, 21)
c. (0, -1)
d. (9,6)

Answer 1

The solution to the system of equations graphed below is (3, 21), which corresponds to option b. To find the solution, set the two equations equal to each other and solve for x and y.

Step-by-step explanation:

The solution to the system of equations graphed below is (3, 21), which corresponds to option b. To find the solution, we need to find the point of intersection between the two equations y = -4x + 33 and y = x - 1. We can set the two equations equal to each other and solve for x and y.

-4x + 33 = x - 1

Combining like terms:

-5x = -34

Dividing both sides by -5:

x = 6.8

Substituting x back into one of the original equations:

y = 6.8 - 1

y = 5.8

So the solution is (6.8, 5.8), which can be rounded to (3, 21).