Question

Estimate the solution to the system of equations.

Answer 1

Answer:

$\sf C) \ x = -1\dfrac{2}{5} , \ y = \ 1\dfrac{3}{5}$

Given equations:

• a) -3x + 3y = 9

• b) 2x - 7y = -14

Make x the subject in equation 1:

• -3x + 3y = 9

• -3x = 9 - 3y

• x = y - 3

Substitute this into equation 2:

2(y - 3) - 7y = -14

2y - 7y = -14 + 6

-5y = -8

  y = -8/-5

  y = 1.6

Then x = y - 3

           = 1.6 - 3

           = -1.4

Solution: (x, y) ⇒ (-1.4, 1.6)