Question

Solve the system of equations:

a) 3x + 4y = 28
b) -206x - 5y = 31
What are the solutions for x and y?
A) x = 3.5, y = -2
B) x = 3.5, y = 2
C) x = -3.5, y = -2
D) x = -3.5, y = 2

Answer 1

The solutions for x and y are x = 12 and y = -2.

Step-by-step explanation:

To solve the system of equations:

a) 3x + 4y = 28

b) -206x - 5y = 31

we can use the method of substitution. Solve one equation for one of the variables and substitute it into the other equation.

In this case, let's solve equation a) for x:

3x = 28 - 4y

x = (28 - 4y)/3

Now, substitute this expression for x into equation b):

-206((28 - 4y)/3) - 5y = 31

Simplify and solve for y:

y = -2

Now, substitute this value of y back into equation a) to solve for x:

3x + 4(-2) = 28

3x - 8 = 28

3x = 36

x = 12

Therefore, the solutions for x and y are x = 12 and y = -2.