Question

Which of the following Solves the system using elimination.
-10x - 3y = -18.
-7x - 8y = 11.
(3,-4)
(-7,-10)
(2,-1)
(-4,3)

Answer 1

To solve the system using elimination, we need to add the two equations together in a way that eliminates one of the variables.

First, we will multiply the first equation by 7 and the second equation by 10 to make the coefficients of x equal opposite:

-70x - 21y = -126
-70x - 80y = 110

Now, we will add these two equations:

-70x - 21y
-70x - 80y
_____________
-101y = -16

Divide by -101:
y = 0.16

Now substitute y = 0.16 into either of the original equations. Let's use the first equation:

-10x - 3(0.16) = -18
-10x - 0.48 = -18
-10x = -17.52
x = 1.752

So the solution to the system using elimination is (1.752, 0.16).

None of the given options matches this solution.