Question

Solve: {y=x−4 y=6x−10
x =
y =

Answer 1

The system of equations y = x - 4 and y = 6x - 10 can be solved by setting them equal to each other. After simplifying, we find that x = 6/5 and y = -14/5.

Step-by-step explanation:

To solve the system of equations given by y = x - 4 and y = 6x - 10, we set the two equations equal to each other since they both equal y:

x - 4 = 6x - 10

Subtract x from both sides to get:

-4 = 5x - 10

Add 10 to both sides to isolate the term with x:

6 = 5x

Divide by 5 to solve for x:

x = 6 / 5

Now, substitute x back into one of the original equations to find y:

y = (6 / 5) - 4
Multiply 4 by 5/5 to get a common denominator:

y = 6/5 - 20/5

Combine the numerators over the common denominator:

y = (6 - 20) / 5

y = -14 / 5

The solution to the system of equations is x = 6/5 and y = -14/5.

Answer 2

y= -2.8

x = 1.2

Step-by-step explanation:

y has been give so first substitute y into y

y=6x−10 and y=x−4

so x-4 = 6x-10

now get all the like terms on one side

it's best to keep the x as postive for easier methods so move the x to the rights side by subtracting x from the left side.

x-4 = 6x-10

- x

-4 = 6x - 10

now add 10 so x's are on one side and the numbers on the other

+ 10

-4 + 10 = 6x - x

now simplify

-4 + 10 = 6

6x - x = 5x

so

6 = 5x

divide by 5 to get X by itself, the value of x

x = 6/5 = 1.2

now we have the value of x we can substitute it to find the value of y.

y=x−4

x = 1.2

y= 1.2 - 4 =-2.8

y= -2.8

x = 1.2