Question

A system of linear equations is shown below.

{2m+4p=22
{6m+12p=66
Complete the statement by selecting the correct phrase from the provided list.
The system of linear equations has _________________________.
A unique solution
no solution
inf many solutions

Answer 1

Answer: No solution

Explanation:

2m+4p=22

6m+12p=66

First, to choose one variable to simplified, I choose to find 1st equations in m form.

2m+4p=22

2m=22-4p [Subtract 4p from both side]

m=22/2 - 4/2p [Divide 2 on both side to find m]

m= 11 - 2p

6m+12p=66

6(11-2p)+12p=66 [Plug in the 11-2p in to m,according to the 1st equation]

66-12p+12p=66

The -12p has cancel with 12p, so it means that there is no solution