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Advocard [28]
3 years ago
13

4x+7+2x+5 solve for X​

Mathematics
2 answers:
Gelneren [198K]3 years ago
8 0

Answer:

x = - 1

Step-by-step explanation:

Let's solve

4x + 7 = 2x + 5

Subtract 2x from both sides.

4x + 7 −2x = 2x + 5 −2x

2x + 7 = 5

Subtract 7 from both sides.

2x + 7 − 7 = 5 −7

2x = −2

Divide both sides by 2.

2x / 2 = −2 / 2

x = −1

dalvyx [7]3 years ago
4 0

Answer:

Simplifying

4x + -7 = -2x + -5

Reorder the terms:

-7 + 4x = -2x + -5

Reorder the terms:

-7 + 4x = -5 + -2x

Solving

-7 + 4x = -5 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.

-7 + 4x + 2x = -5 + -2x + 2x

Combine like terms: 4x + 2x = 6x

-7 + 6x = -5 + -2x + 2x

Combine like terms: -2x + 2x = 0

-7 + 6x = -5 + 0

-7 + 6x = -5

Add '7' to each side of the equation.

-7 + 7 + 6x = -5 + 7

Combine like terms: -7 + 7 = 0

0 + 6x = -5 + 7

6x = -5 + 7

Combine like terms: -5 + 7 = 2

6x = 2

Divide each side by '6'.

x = 0.3333333333

Simplifying

x = 0.3333333333

Step-by-step explanation:

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49 - 17 = 32

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a

Step-by-step explanation:

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2. Use the following picture for this question:
Art [367]

Answer:

a.  24\sqrt{3}  and 41.6

b.  52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is \sqrt{3}

Thus, we can write Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}

Approximate value (rounded to nearest tenth):  24\sqrt{3} =41.6

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

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3 years ago
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