Question

WILL NAME BRAINLIEST-PLEASE DONT ANSWER IF YOU DONT KNOW

Use algebraic rules of equations to predict the solution type to the system of equations. Include all of your work for full credit.
\(f(x) = \left\{

x + 2y =10
6y = 3x - 30

\right.\)

Answer 1

Answer:

Infinite Solutions

Step-by-step explanation:

x + 2y = 10

6y = 3x - 30

To solve for x and y we use substitution method

Let's solve the first equation for x

x + 2y = 10

Subtract 2y on both sides

x = 10 - 2y

Now plug in x in second equation

6y = -3x + -30

6y = -3 (10-2y) - 30

6y = -30 + 6y - 30

6y = 6y

Both sides are the same, so both x and y have infinite solutions.