What is the nature of the solution set to the following system of equations?
4x + 3y = 2
3x − 2y = 10
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The solution to the system of equations is one solution at (2, -2)
The system of equations is given as:
4x + 3y = 2
3x − 2y = 10
Multiply (1) by 2 and (2) by 3.
So, we have:
8x + 6y = 4
9x − 6y = 30
Add both equations
17x = 34
Divide by 17
x = 2
Substitute x = 2 in 3x − 2y = 10
3(2) − 2y = 10
Solve for y
y = -2
Hence, the solution to the system of equations is one solution at (2, -2)
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