A student wants to use the property (
x
−
y
)
(
x
+
y
)
=
(
x
2
−
y
2
)
to find the product
(
26
)
(
34
)
.
Which statement is true?

The property is an illustration of difference of two squares

The true statement is

The property is given as:

The product is given as:

Let x - y = 26, and x + y = 34.

So, we have:

Make x the subject in

Substitute 26 + y for x in

Subtract 26 from both sides

Divide both sides by 2

Substitute 4 for y in

So, we have:

Hence, the true statement is

Read more about difference of two squares at:

link

{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

3+x

step-by-step explanation: