Question

Find the solution of this system of equations.

Separate the x- and y-values with a comma.
x - 4y = -22
x- y=-10
Enter the correct answer.
DONE

Answer 1

{x, y} = {-6, 4}

Explanation:

It is given that,

x - 4y = -22 ------(1)

x - y= -10 -------(2)

To ind the value of x and y

subtract eq(2) from eq(1)

x - 4y = -22 ------(1)

x - y= -10 -------(2)

0 -3y = -12

3y = 12

y = 12/3 = 4

Substitute the value of y in eq (1)

x - 4y = -22 ------(1)

x - (4*4) = -22

x - 16 = -22

x = -22 +16 = -6

Therefore {x, y} = {-6, 4}

Answer 2

{-6,4}

Explanation:

Given

x-4y=-22 Eqn 1

x-y=-10 Eqn 2

Subtracting both equations:

The left hand side of equation 2 will be subtracted from left hand side of eqn 1 and the right side of equation 2 will be subtracted from right hand side of eqn 1.

`(x-4y)-(x-y)=-22-(-10)\\x-4y-x+y=-22+10\\-4y+y=-12\\-3y=-12\\(-3y)/(-3)=(-12)/(-3)\\ y=4`

Putting y=4 in eqn 2

`x-4=-10\\x=-10+4\\x=-6\\So,\\Solution Set = \{-6,4\}`