Question

, y = 2.
2. Simplify:
a. (x + y)(2x + y) + 30​

Answer 1

Answer:

We can start by using substitution.

The first equation solves easily for

y

, so just subtract

2

x

from both sides:

y

=

−

2

x

+

30

This equals "

y

". Plug in this expression for

y

in the second equation and solve for

x

:

4

x

+

2

(

−

2

x

+

30

)

=

60

4

x

−

4

x

+

60

=

60

0

=

0

But wait- the "

x

"s cancel out! What does that mean? Well, there are an infinite number of solutions to this system- so you can't just find one "

x

=

" and "

y

=

".

So that's the answer: There are an infinite number of solutions.

Also, you can try dividing both sides of the second equation by

2

:

2

x

+

y

=

30

, which is actually the exact same line as the first one. When the equations in

a given system of equations represent the same line, it is called a dependent system.

Answer 2

Y = 2

$(x + 2)(2x + 2) + 30$

$2x {}^{2} + 2x + 4x + 4 + 30$

$2x {}^{2} + 6x + 4 + 30$

$2x {}^{2} + 6x + 34$

Hope it's helps to u ✌️✌️