Question

100 POINTS HELP ASAP Linear Combination

Answer 1

1)
`x=\frac12`

2)
`n = -3 \ \ \textsf{and} \ \ m = -4`

3) see below

4) A: 0 = 1

Explanation:

Question 1

`15-0.5(4x-2)+4x=17`

`\implies 15-2x+1+4x=17`

`\implies 2x+16=17`

`\implies 2x=1`

`\implies x=\frac12`

Question 2

`\textsf{rearrange} \ n=m+1 :`

`\implies -m=-n+1`

`\textsf{add equations} \ -m=-n+1 \ \textsf{and} \ m=2n+2:\\`

`\implies0=n+3`

`\implies n=-3`

`\textsf{substitute} \ \ n=-3 \ \ \textsf{into} \ \ m=n-1:`

`\implies m=-3-1`

`\implies m=-4`

Question 3

subtract the second equation from the first

divide both sides by -4

substitute found value for y into first equation

solve for x

Question 4

`3j=k`

`k=3j+1`

`\textsf{rearrange} \ 3j=k :`

`\implies -k=-3j`

`\textsf{add equations}\ -k=-3j \ \ \textsf{and}\ \ k=3j+1:`

`\implies 0=1`

Solution = A