Question

Please Help

y = 2x + 4
2x - y = 6
Solve the system of equations using substitution.
A)
(2,8)
B)
(2,-8)
C)
(10,24)
D)
no solution

Answer 1

Any ideas?

Answer 2

$$\Huge y=2x+4$$
$$\Huge 2x–y=6$$

$$\huge 2x –(2x+4)=6$$$

Answer 3

That's correct, and then you distribute the negative inside the parentheses giving you
2x-2x-4=6
If you try to solve for x you will find 2x-2x =0 leaving yu with -4=6
but -4 is not equal to 6, therefore there is no solution.

Answer 4

another thing you could do, although it might take a while, is plug in each point to the system and see if you get an equal answer for both. If not, then it's D.

Answer 5

$$\Huge –(a+b)=(–a)+(–b)$$