Question

Y

=
–x + 4
x + 2y
=
–8
How many solutions does this linear system have?
one solution: (8, 0)
one solution: (0, 8)
no solution
infinite number of solutions

Answer 1

infinite number of solutions

Answer 2

one solution

Explanation:

Given two equation

y = -x+4 ... (1)

x+2y = -8 ...(2)

Substituting equation (1) into (2), we will have;

x+2(-x+4) = -8

Opening the bracket up

x-2x+8 = -8

-x = -8-8

-x = -16

x = 16

Substituting x = 16 back into equation 1:

y = -16+4

y = -12

This shows that the linear equation has one solution (16,-12)