Question

What is the solution to the following system of equations 4x + 2 = -2y 6y - 18 = 6x

Answer 1

Answer:

The solution to the system of equations are;

x = -4/3

y = 5/3

Step-by-step explanation:

To find the Solution, we would carry the Operation simultaneously.

4x + 2 = -2y .........(i)

6y - 18 = 6x ..........(ii)

First let's rearrange the equations, to make the journey smoother

2y + 4x = -2 ...........(iii)

6y - 6x = 18 ...........(iv)

Let's Multiply equation (III) by 3 so as to have a uniform spot to begin elimination.

3.2y + 3.4x = -2 . 3

6y + 12x = -6............... (v)

Let's subtract equation (v) from equation (iv)

= 0y - 18x = 24

-18x = 24

x = - 24 / 18

x = -4/3

Let's substitute (x = -4/3) in equation (ii), so that we can solve for the value of y:

6y - 18 = 6x

6y - 18 = 6 (-4/3)

6y - 18 = -8

6y = -8 + 18

6y = 10.

y = 10 / 6

y = 5/3

The solution to the system of equations are;

x = -4/3

y = 5/3