2) - 7x + 5y=10

4x - 5y=-10

-7x+5y=10

4x-5y=-10

Find x first by eliminating the y.

Add the two equations together.

-7x+4y=-3y

+5y-+5y = 5y-5y=0

10-+10=0

-3x=0

divide both sides by - 3

-3x/-3=0/-3

x=0

Find y by using x=0 into - 7x+5y=10 (using substitution method)

-7 (0) + 5y=10

0+5y=10

5y=10

divide both sides by 5

5y/5=10/5

y=2

Answer:

(0,2)

To solve this, the problem is solvable by elimination. So you see how the 5y and - 5y cancel out? You basically add those two and you add the - 7x and 4x and 10 and - 10 leaving you with - 3x=0. Dividing by each side gives you x=0. Then, plug 0 in for x in - 7x+5y=10. Giving you

-7 (0) + 5y=10.

0+5y=10

5y=10

Divide by 5 on each side giving you y=2. So your answer is (0,2).