Question

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

Answer 1

Answer: x-coordinate: 4

y-coordinate: -2

Step-by-step 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