Question

Solve the systems of equations:

y = -x - 1
y = (3/2)x - 6
a(2,3)
b(2,-3)
c(-3,-3)
d(-2,3)

Answer 1

To solve the systems of equations y = -x - 1 and y = (3/2)x - 6, set them equal to find x, and then substitute back into either equation to find y. The solution is the point (2, -3), which is option b.

Step-by-step explanation:

To solve the systems of equations, we need to find the value of x and y where the two equations intersect. The given equations are:

• y = -x - 1
• y = (3/2)x - 6

Since both equations equal y, we can set them equal to each other to find the x-coordinate of the solution:

(3/2)x - 6 = -x - 1

Combining like terms, we get:

(5/2)x = 5

Dividing both sides by (5/2) gives us:

x = 2

Now, we can substitute x back into one of the original equations to find y:

y = -2 - 1

y = -3

Therefore, the solution to the system of equations is (2, -3), which corresponds to option b(2,-3).