The solution to the the given system of equation are x = 11/33 and y = -4/3.
Hence, (2,3) is not a solution to the system of equation.
Is (2,3) a solution to the given system of equation?
Given the system of equation;
-x + 4y = -9 ------ equ 1
y = -2x + 6 --------equ 2
Replace the occurrence of y in equation 1 with equation 1.
-x + 4y = -9
-x + 4( -2x + 6 ) = -9
Now, we simplify
-x - 8x + 24 = -9
Collect like terms
-x - 8x = - 9 - 24
-9x = -33
Divide both sides by -9
x = -33/-9
x = 11/33
Next, substitute x = 11/33 into equation 2
y = -2(11/33) + 6
y = -22/33 + 6
y = -4/3
The solution to the the given system of equation are x = 11/33 and y = -4/3.
Hence, (2,3) is not a solution to the system of equation.
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