Question

Solve the system of linear equations, 2y + 4 = 8x, y = 4x - 4

Answer 1

Given the following system of linear equation:

2y + 4 = 8x

y = 4x - 4

Let's determine the solution of the two equations by Substitution.

Substitute y = 4x - 4 in 2y + 4 = 8x.

`2y+4=8x`
`2(4x-4)+4=8x`
`8x-8+4=8x`
`8x-4-8x=8x\text{ - 8x}`
`\text{ -4 = 0}`

Therefore, the given system of equations has no solution.