Answer:
(3, -5)
x = 3
y = -5
Step-by-step explanation:
Multiply the entirety of the equations by a number so that they have one variable that has the same coefficient.
Multiply so that both equations will have "6y".
2x — Зу = 21 X2 ==> 4x - 6y = 42
5x - 2y = 25 X3 ==> 15x - 6y = 75
When you subtract a number from the same number, it becomes 0. (-6y) - (-6y) = 0, eliminating one of the variables so you can solve for "x".
Subtract the equation on the bottom from the equation on the top:
. 15x - 6y = 75
- 4x - 6y = 42 Subtract each of the terms.
. 11x = 33 Divide both sides by 11 to isolate x.
. x = 3
Substitute x = 3 into any of the equations.
2x - Зу = 21
2(3) - 3y = 21 Simplify
6 - 3y = 21 Start isolating y.
-3y = 21 - 6 Subtract 6 from both sides.
-3y = 15 Divide both sides by -3.
y = -5
A point is in the form (x, y).
The solution to this system is (3, -5) or x = 3 y = -5.
