Question

What is the solution to the system of equations that contains -3x + y = 3 and 2x - y = -1

Answer 1

-3x + y = 3
2x - y = -1

2x - 2x - y = -1 - 2x
-y = -1 - 2x
Y = 1 + 2x
Y = 2x + 1

-3x + y = 3
-3x + (2x + 1) = 3
-3x + 2x + 1 = 3
-X + 1 = 3
-X + 1 - 1 = 3 - 1
-X = 2
X = -2.

Y = 2x + 1
Y = 2(-2) + 1
Y = -4 + 1
Y = -3.

P(-2,-3). The solution to this system of equations is P(-2,-3).