Answer :
Answer:
x = 2 and y = [tex]\frac{2}{3}[/tex]
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 = [tex]\frac{2}{3}[/tex]
x = 2 and y = [tex]\frac{2}{3}[/tex]