3x - 1/2 y = -7/2
x + 2y = 1

what is the solution of the system of equations?

x = -1

y = 1

Step-by-step explanation:

We need to use simultaneous equations to answer this question. Since x is already by itself in one of the equations, we'll use substitution.

When rearranging the second equation, in terms of x:

x + 2y = 1

x = 1 - 2y (subtract both sides by 2y)

Now we can substitute this into the first equation and we'll only have one variable:

3(1 - 2y) - 1/2y = -7/2

3 - 6y - 1/2 y = -7/2

3 - 6 1/2y = -7/2

3 + 7/2 = 6 1/2 y

6 1/2 =  6 1/2 y

y = 1

Now that we know y, we can find x by substituting the y value into any of the given equations.

x + 2y = 1

x + 2(1) = 1

x + 2 = 1

x = 1 - 2

x = -1

Hope this helps,

Cate

c.

step-by-step explanation: