Question

Solve, using the substitution method.

y – 2x = 8
16 + 4x = 2y

(Points : 1)
The solution is (24, 0).
The solution is (1, 10).
There is no solution.
There are an infinite number of solutions.

Answer 1

y - 2x = 8 --- we want to get y by itself, therefore, we want the -2x on the other side.
To do this, we do the opposite. It is showing -2x, so we add 2x to both sides.
y - 2x + 2x = 2x + 8 -- combine like terms
y = 2x + 8
now that we have y = 2x + 8, we can sub 2x + 8 in for y in the other equation.
16 + 4x = 2y
16 + 4x = 2(2x + 8) -- distribute through the parenthesis
16 + 4x = 4x + 16 -- subtract 4x from both sides
16 + 4x - 4x = 4x - 4x + 16 -- combine like terms
16 = 16
if the solution ends like this, there are INFINITE SOLUTIONS

if it would have ended like this : 16 = 14...then it would be no solutions.
any questions ?

Answer 2

i cant believe it but tht actually made complete sense u r a genius

Answer 3

I don't know about that...it takes time and practice to learn all of this, but you seem smart, you will eventually catch on :)

Answer 4

Solve, using the substitution method.

y = 4x + 6
5x – y = 6

(Points : 1)
There are an infinite number of solutions.
There is no solution.
(18, 12)
(12, 54)

Answer 5

may i get help with this 1

Answer 6

of course....we already know that y = 4x + 6. So we sub in 4x + 6 for y in the other equation.
Can you do that ?

Answer 7

If they had the same slope they's be parallel and have no solution, so you can cross that one out too. Leaving just C and D as options.

Answer 8

if the equations were the same they'd have infinitely many. But they're not so you can cross that out