Question

Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols.. . 1.2x+7y=4. 2..-4x-3y=14. .

Answer 1

Using the given equations to solve:

2x + 7y = 4
-4x - 3y = 14

Expressing one equation in terms of x:

2x + 7y = 4
2x = 4 - 7y
x = (4 - 7y)/2

Substituting to the other equation:

-4 [(4 - 7y)/2] - 3y = 14
-8 + 14y - 3y = 14
11y = 22
y = 2

Substituting back to the first equation:

2x + 7(2) = 4
2x + 14 = 4
2x = -10
x = -5

Therefore, (x,y) = (-5 , 2)