To solve for x, we will begin by using the distributive property

6x - 2(x + 4) = 12

6x - 2x - 8 = 12

(always remember to sort your negatives!)

Add like terms

4x - 8 = 12

Add 8 to both sides

4x = 20

Divide both sides by 4

x = 5

3 0

3 years ago

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Is 16x2 + 24x + 9 a perfect square trinomial

fredd [130]

16x²=(4x)², 9=3², 24x=2*4x*3
so this is a perfect square: (4x+3)²

5 0

3 years ago

Which diagram contains a pair of similar triangles?

Musya8 [376]

Answer:

Step-by-step explanation:

6 0

3 years ago

Solve: x + y = 7 3x - 2y = 11 By using Substituting method.

Salsk061 [2.6K]

$\large\underline{\sf{Solution-}}$

$\sf \longmapsto x + y = 7 \: \: - - - (i)$

$\sf \longmapsto 3x - 2y = 11 \: \: - - - (ii)$

By first equation,

$\sf \longmapsto x + y = 7$

$\sf \longmapsto x = 7 - y$

Now, we can find the original value of y.

$\sf \longmapsto 3x - 2y = 11$

$\sf \longmapsto 3(7 - y) - 2y = 11$

$\sf \longmapsto 21 - 3y - 2y = 11$

$\sf \longmapsto 21 - 5y = 11$

$\sf \longmapsto - 5y = 11 - 21$

$\sf \longmapsto - 5y = - 10$

$\sf \longmapsto y = \dfrac{ - 10}{ - 5}$

$\sf \longmapsto y = 2$

Now, we can find the original value of x.

$\sf \longmapsto x + y = 7$

$\sf \longmapsto x + 2 = 7$

$\sf \longmapsto x = 7 - 2$

$\sf \longmapsto x = 5$

Therefore, the values of x and y are 5 and 2 respectively.

8 0

2 years ago

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