Question

Use algebraic rules of equations to predict the solution to the system of equations. Include all of your work for full credit.

Answer 1

X+2y=10
x=10-2y

6y=-3(10-2y)+30
6y=-30+6y+30
0=0

Answer 2

Answer:

infinite solutions

Step-by-step explanation:

$x+2y=10$

$6y=-3x+30$

To solve for x  and y we use substitution method

LEts 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 same , so both x  and y have infinite solutions.