Heather has to solve this system of equations using elimination. what should be her first step? 3x+6y = 12 x+5y = 10

Multiply he second equation by -3

The solution is (0, 2)

Step-by-step explanation:

When doing this, you make it so you can eliminate the x variables...

start with

3x + 6y = 12  

 x  + 5y = 10        

Now multiply the second equation by -3

-3(x + 5y = 10) becomes...

 -3x - 15y - 30

Now our system is

3x + 6y = 12

-3x - 15y = -30

When we add them together, we get

  -9y = -18

***The x variable is gone, so we have eliminated that

Here is the final solution in case you need it..

  -9y = -18     solve for y..

      y = 2      (divide by -9 on both sides to isolate y)

There for x is

x + 5(2) = 10

  x + 10 = 10

     x = 0

so the solution is (0, 2)

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions