Question

What is the solution to the given system of equations? y=-4x-3
y=-x-13

Answer 1

Answer:

x = 10 / 3, y = - 49 / 3

Step-by-step explanation:

y = - 4x - 3 ---------> eq 1.

y = - x - 13  ----------> eq 2.

Substitute eq 1 in eq 2,

- 4x - 3 = - x - 13

- ( 4x + 3 ) = - ( x + 13 )

multiply - 1 on both sides,

4x + 3 = x + 13

4x - x = 13 - 3

3x = 10

x = 10 / 3 ------ eq 3.

Substitute eq 3 in eq 2,

y = ( - 10 / 3 ) - 13

  = ( - 10 / 3 ) - 39 / 3

  = ( - 10 - 39 ) / 3

y = - 49 / 3

x = 10 / 3

y = - 49 / 3