Consider the equation 4x + 1 = 2x + 5 (a) Why can't you determine whether this equation is true or false?

(b) If x= 3. Will the equation be true? How can you tell?

(c) Show that x = 2 makes the equation true.

(a) Without solving the equation we can't determine whether its true or false.

(b) If x = 3

4x + 1 = 2x + 5

4(3) + 1 = 2(3) + 5

12 + 1 = 15 + 5

13 = 20

No, if x = 3, the equation will not be true.

(c) 4x + 1 = 2x + 5

4x - 2x = 5 - 1

2x = 4

x = 4/2

x = 2

This shows that x = 2 makes the equation true.

10000

step-by-step explanation: divide by 2,

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1