Question

What is the solution to the system of equations?

6x+ 2y = 6
7x+3y=5
o (-3,2)
o (-1.6)
o (2.-3)
o (6.-1)

Answer 1

Answer:
(2,-3)

Step-by-step explanation:

Equations -
6x+2y=6
7x+3y=5
Use the 'Elimination Method'
6x+2y=6 --> y=3-3x
Now plug the 'y' into the other equation.
7x+3(3-3x)=5
turns into:
7x+9-9x=5
simplified:
9-2x=5
-2x=-4
----------
x=2

Now plug the x into the 'y=3-3x' equation:
y=3-3(2)
y=3-6
------------
y=-3

The x intercept is 2, and the y intercept is -3