Question

Pleaseeee i will mark brainlesttttt solve this system of equations 12x−15y=14 8x−15y=6

Answer 1

Answer:

x = 2 and  y = $\frac{2}{3}$

Step-by-step explanation:

To solve this system of equation, we will follow the steps below;

We will use both elimination and substitution method to solve this system of equations

12x−15y=14 ------------------------------------------------------------------------(1)

8x−15y=6 --------------------------------------------------------------------------(2)

subtract equation (2) from equation (1)

(By doing that the y  variable will be eliminated)

4x = 8

Divide both-side of the equation by 4

4x/4 = 8/4

x = 2

Substitute x =2 into equation (2) and then solve for y

8x−15y=6

8(2)−15y=6

16 - 15y = 6

subtract 16 from both-side of the equation

16 - 16- 15y = 6-16

-15y = -10

Divide both-side of the equation by -15

-15y/-15  = -10/-15

y = $\frac{2}{3}$

x = 2 and  y = $\frac{2}{3}$