Solve the system of equations.

3x – 7y = 5
9y = 5x + 5

Question

Solve the system of equations.

3x – 7y = 5
9y = 5x + 5

precal · Answer

do you know any methods to solve the systems?

precal · Answer

I would use the matrix and my graphing calculator if technology is allowed.
I would use elimination if I had to solve it by hand.

precal · Answer

ok tell Pebbles I send my regards

triciaal · Answer

one method
$$3x - 7y = 5$$
$$-5x + 9y = 5$$
5 = 5
3x -7y = -5x + 9y
8x =16y
x = 2y
substitute in the first eqn
3(2y) -7y = 5
(6-7)y =5
y = -5  
x = 2(-5) = 10
check by substituting your x and y values in either of original eqn
3(-10) -7(-5) =5
-30 + 35 = 5
5 = 5

precal · Answer

Just one note:  When checking, you need to check both equations.  The solutions must work for both equations.

precal · Answer

x=-10 y=-5    I doublecheck the solution with the matrix