Question

Solve the system of equations using the substitution method. Make sure to check your solution.

y = x - 6


5x + 3y = 14


In the blanks below, type just the number for the x-coordinate in blank 1 and just the number for the y-coordinate in blank 2.


x-coordinate:

y-coordinate:

Answer 1

Answer: x-coordinate: 4

y-coordinate: -2

Explanation:

The given system of linear equations:

y= x- 6 ..(i)

5x+3y = 14 ...(ii)

Substitute value of y in (ii), we get

`5x +3(x-6)=14\\\\\Rightarrow\ 5x+3x-18=14\\\\\Rightarrow \ 8x=14+18\\\\\Rightarrow\ 8x=32\\\\\Rightarrow\ x=4`

Put value of x in (i) , we get

`y=4-6=-2`

Hence, Required solution:

x-coordinate: 4

y-coordinate: -2