Answer:
( [tex]\frac{29}{14}[/tex], - [tex]\frac{19}{7}[/tex])
Step-by-step explanation:
given the 2 equations
2x + 3y = - 4 → (1)
4x - y = 11 → (2)
Rearrange (2) expressing y in terms of x, that is
y = 4x - 11 → (3)
Substitute y = 4x - 11 into (1)
2x + 3(4x - 11) = - 4
2x + 12x - 33 = - 4
14x - 33 = - 4 ( add 33 to both sides )
14x = 29 ( divide both sides by 14 )
x = [tex]\frac{29}{14}[/tex]
Substitute this value into (3) for corresponding value of y
y = (4 × [tex]\frac{29}{14}[/tex]) - 11 = [tex]\frac{116}{14}[/tex] - [tex]\frac{154}{14}[/tex] = - [tex]\frac{38}{14}[/tex] = - [tex]\frac{19}{7}[/tex]
solution is ( [tex]\frac{29}{14}[/tex], - [tex]\frac{19}{7}[/tex])
