Question

Y=x+2 y+1= – 4x Is this ordered pair a solution of the system of equations? Help:(

Answer 1

• y=x+2.....(1)
• y+1= – 4x......(2)

Put value of y in Equation 1 in Equation 2.

$\looparrowright \sf y + 1 = - 4x$

$\looparrowright \sf (x + 2) + 1 = - 4x$

$\looparrowright \sf x + 2 + 1 = - 4x$

$\looparrowright \sf x +3= - 4x$

$\looparrowright \sf x + 4x= - 3$

$\looparrowright \sf 5x= - 3$

$\looparrowright \sf x= \dfrac{ - 3}{5}$

Let's find value of y :

$\looparrowright \sf y=x+2$

$\looparrowright \sf y= \dfrac{ - 3}{5} +2$

$\looparrowright \sf y= \dfrac{ - 3 + 10}{5}$

$\looparrowright \sf y= \dfrac{7}{5}$

Solution:

$\looparrowright \sf \bigg( \dfrac{ - 3}{5} , \dfrac{7}{5} \bigg)$