Question

What is the solution to this linear system?

x+y=2
3x - 2y = -9
A (-3,-1)
B (1,3)
c (3,-1)
D (-1,3)​

Answer 1

Solution set is (-1,3)

Hence Option D is correct

Step-by-step explanation:

We need to solve linear system to find the solution.

$x+y=2\,\,\,(1) \\3x-2y=-9\,\,\,\,(2)$

Multiply equation (1) with 2 and add both equations.

$2x+2y=4\\3x-2y=-9\\-------\\5x= -5\\x=\frac{-5}{5}\\ x=-1$

Putting value of x in equation(1)

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

So, x=-1 and y=3

So, Solution set is (-1,3)

Hence Option D is correct.

Keywords: System of solutions

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