10.9k views
2 votes
2x+8y=6, -5x-20y=-15

need work because I don't understand

1 Answer

6 votes

Answer:

Infinitely many solutions.

Explanation:

Step: Solve 2x + 8y = 6 for x:

2x + 8y = 6

2x + 8y + −8y =6 + −8y (Add -8y to both sides)

2x = −8y + 6

2x/2 = (-8y + 6)/2 (Divide both sides by 2)

x = −4y + 3

Step: Substitute −4y + 3 for x in −5x − 20y = −15:

−5x − 20y = −15

−5 (−4y + 3 ) −20y = −15

−15 = −15 (Simplify both sides of the equation)

−15 + 15 = −15 + 15 (Add 15 to both sides)

0 = 0


User Sakshi Nagpal
by
5.8k points