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2 years ago

What vaule of x makes th question true? 3x+2(x-5)=50 a. 8 b.9 c.11 d.12

1 answer:

4 0

Hey Tierra7l,

Lets solve your equation together step by step.

$3x+2\left(x-5\right)=50$

$\mathrm{Expand}\:2\left(x-5\right):\quad 2x-10$

$\mathrm{Distribute\:parentheses\:using}:\quad \:a\left(b+c\right)=ab+ac$

$a=2,\:b=x,\:c=-5$

$2\cdot \:x+2\left(-5\right)$

$\mathrm{Apply\:minus-plus\:rules}$

$\:\:+\left(-a\right)=-a$

$2x-2\cdot \:5$

$\mathrm{Multiply\:the\:numbers:}\:2\cdot \:5=10$

$2x-10$

$3x+2x-10=50$

$\mathrm{Add\:similar\:elements:}\:3x+2x=5x$

$5x-10=50$

$\mathrm{Add\:}10\mathrm{\:to\:both\:sides}$

$5x-10+10=50+10$

$\mathrm{Simplify}$

$5x=60$

$\mathrm{Divide\:both\:sides\:by\:}5$

$\dfrac{5x}{5}=\dfrac{60}{5}$

$\mathrm{Simplify}$

$x=12$

Hope this helps,

AnthrαX <span> </span>

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Write an equation in slope-intercept form of the line shown.

7nadin3 [17]

Answer:

$y = 2x - 5$

Step-by-step explanation:

Find the slope using the points, (1, -3) and (3, 1):

$slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-3)}{3 - 1} = \frac{4}{2} = 2$

m = 2

Find the y-intercept (b) by substituting x = 1, y = -3, and m = 2 in $y = mx + b$

$-3 = (2)(1) + b$

$-3 = 2 + b$

Subtract 2 from both sides

$-3 - 2 = 2 + b - 2$

$-5 = b$

$b = -5$

Plug in the value of m and b into the slope-intercept form equation, $y = mx + b$ .

Thus:

$y = 2x +(-5)$

✅ $y = 2x - 5$

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2 years ago

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cricket20 [7]

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2 years ago

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Ber [7]

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2 years ago

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dezoksy [38]

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2 years ago

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Alisiya [41]

Answer:

No solutions.

Step-by-step explanation:

x - y = 2 <Start with an equation

x - (x + 2) = 2 <Plug in the given y value and solve for x

x - x - 2 = 2 <Combine like terms

0 - 2 = 2 <There are no values of x

No solutions.

8 0

2 years ago