To solve the system of equations, we can use the method of elimination.
1. Multiply the second equation by -3 to obtain the equation -3x - 3y = -6.
2. Add the two equations together to eliminate the y term:
(3x + y) + (-3x - 3y) = 3 + (-6)
0x - 2y = -3
-2y = -3
3. Solve for y by dividing both sides of the equation by -2:
y = (-3)/(-2)
y = 3/2
4. Substitute the value of y into either of the original equations to solve for x. Using the first equation:
3x + (3/2) = 3
3x = 3 - 3/2
3x = 6/2 - 3/2
3x = 3/2
x = (3/2)/3
x = 3/2 * 1/3
x = 3/6
x = 1/2
Therefore, the solution to the system of equations is:
X = 1/2, Y = 3/2.
The correct answer is C: X = 1/2, Y = 3/2.
3x + y = 3
x + y = 2
Solve the system of equations.
A: X = 1/2, Y = 3
B: X = 3, Y = 1/2
C: X = 1/2, Y = 3/2
D: X = 3/2, Y = 1/2
E: X = 5/2, Y = -9/2
1 answer
2 answers