Question

HELP PLEASE Use the substitution method to solve the given system of equations. Write your answer as an ordered pair, (x, y).

y - x = 4
6y + 2x = 4​

Answer 1

`\sf \large \: x= (−5)/(2) \: and \: y = (3)/(2)`

Explanation:

Let's solve your system by substitution.

y−x=4;6y+2x=4

Rewrite equations:

−x+y=4;2x+6y=4

Step: Solve−x+y=4for y:

−x+y=4

−x+y+x=4+x(Add x to both sides)

y=x+4

Step: Substitute x+4 for y in 2x+6y=4:

2x+6y=4

2x+6(x+4)=4

8x+24=4(Simplify both sides of the equation)

8x+24+−24=4+−24(Add -24 to both sides)

8x=−20

8x/8 = −20/8

(Divide both sides by 8)

x= −5/2

Step: Substitute −5/2 for x in y=x+4:

y=x+4

y=−5/2+4

y=3/2

(Simplify both sides of the equation)