Question

Your teacher will give you some slips of paper with systems of equations written on them. Each systemrepresents a step in solving this system:x+6y= 15-X + 18y = 11Solve the system

Answer 1

Step-by-step explanation:

The given system of equations is

(4/5)x + 6y = 15

-x + 18y = 11

To solve the system, we will use the substitution method, so first, we need to solve the second equation for x

-x + 18y = 11

-x + 18y - 18y = 11 - 18y

-x = 11 - 18y

-x(-1) = 11(-1) - 18y(-1)

x = -11 + 18y

Now, we can replace x = -11 + 18y on the first equation

(4/5)x + 6y = 15

(4/5)(-11 + 18y) + 6y = 15

(4/5)(-11) + (4/5)(18y) + 6y = 15

-8.8 + 14.4y + 6y = 15

-8.8 + 20.4y = 15

Then, solve the equation for y

-8.8 + 20.4y + 8.8 = 15 + 8.8

20.4y = 23.8

20.4y/20.4 = 23.8/20.4

y = 7/6

Finally, we can find the value of x as follows

x = -11 + 18y

x = -11 + 18(7/6)

x = -11 + 21

x = 10

So, the solution to the system is x = 10 and y = 7/6