Estimate the solution to the system of Equations

Answer letter D

Step-by-step explanation:

-3x + 3y = 9

2x - 7y = -14

Let's start by simplifying both equations:

-3x + 3y = 9 (divide everything by 3)

2x - 7y = -14 (divide everything by 2)

We will then have:

-x + y = 3

x - y = - 7

Then we sum both equations, eliminating x and isolating y to find its value!

y + (- y) = 3 + (- 7)

y + (- y) = - 4

Summing the fractions of y we have

- y = - 4 .: y = .: y = 1 (we found y!)

Now we substitute y in one of the previous equations to find x:

-3x + 3 × ( ) = 9

-3x + = 9

-3x = 9 -

-3x = -

-3x =

x = ÷ -3 (this is tricky, but it's the same as × - )

x = - .: x = - 1 (finally found x!)

Bringing everything together we have:

x = - 1

y = 1

I hope it helps :)