Question

Solve for x and y in the system of equations:

y = 1\2x + 4
y = x - 1
A) x = 6, \ y = 7
B) x = 2, \ y = 3
C) x = -2, \ y = -3
D) x = -6, \ y = -7

Answer 1

To solve the system of equations y = 1/2x + 4 and y = x - 1, you can set the two equations equal to each other and solve for x and y. The solution is x = 10 and y = 9.

Step-by-step explanation:

To solve the system of equations y = 1/2x + 4 and y = x - 1, we will set the two equations equal to each other:

1/2x + 4 = x - 1

To clear the fraction, we can multiply both sides of the equation by 2:

2(1/2x + 4) = 2(x - 1)

This simplifies to:

x + 8 = 2x - 2

Now, we can solve for x:

x - 2x = -2 - 8

-x = -10

x = 10

To find the value of y, we can substitute x = 10 into either of the original equations. Let's use the equation y = x - 1:

y = 10 - 1

y = 9

Therefore, the solution to the system of equations is x = 10 and y = 9.