Question

Solve the System of Equations

Answer 1

Answer:

x = -4

y = 6

Step-by-step explanation:

$y = \dfrac{-3}{4}x+3----(i)\\\\\\y = \dfrac{-1}{2}x+4-----(ii)\\\\\\Substitute \ y = \dfrac{-3}{4}x+3 \ in \ equation \ (ii)$

            $\dfrac{-3}{4}x+3=\dfrac{-1}{2}x+4\\\\\\\dfrac{-3}{4}x+\dfrac{1}{2}x +3 = 4\\\\\\\dfrac{-3}{4}x+\dfrac{1*2}{2*2}x+3=4\\\\\\\dfrac{-3}{4}x+\dfrac{2}{4}x=4-3\\\\\\\dfrac{-1}{4}x=1\\\\\\x=1*\dfrac{4}{-1}\\\\x=-4$

$Substitute \ x = -4 \ in \ equation (i)\\\\y=\dfrac{-3}{4}*(-4)+3\\\\\\y=3+3\\\\y=6$