Question

Question 14 (5 points)
Solve the system.
x - 2y = 10
3x + 2y = 14
(-8.6)​

Answer 1

x = 6

y =-2

Step-by-step explanation:

We need to solve the following system of equaitions:

x - 2y = 10 [I]

3x + 2y = 14 [II]

First. We are going to solve the first equation for 'x':

x = 10 + 2y

Now, let's substitute the value of 'x' into the second equation:

3x + 2y = 14 → 3(10 + 2y) + 2y = 14

Simplify: 3(10 + 2y) + 2y = 14 → 30 +6y + 2y = 14 → 30 + 8y = 14

Solve for 'y': 30 + 8y = 14 → 8y = -16 → y =-2

Now that we know the value of 'y', let's find the value of 'x':

x - 2y = 10 → x - 2(-2) = 10 → x = 6