Question

Write your answer where appropriate for the system of equations: y=-(3)/(2)x+4 y=(1)/(2)x-4

Answer 1

The solution to the system of equations is x = 2 and y = 1.

Step-by-step explanation:

The given system of equations is:

y = -3/2x + 4

y = 1/2x - 4

To solve this system, we can equate the two equations and solve for x:

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

Adding 3/2x to both sides and subtracting 4 from both sides gives:

4x = 8

Dividing both sides by 4 gives:

x = 2

Substituting x = 2 into either of the original equations gives:

y = -3/2(2) + 4 = -3 + 4 = 1

Therefore, the solution to the system of equations is x = 2 and y = 1.