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3 years ago

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

Mathematics

1 answer:

Andreyy893 years ago

4 0

Answer:

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)

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