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3 years ago

1-3(x-5)=5x-12/2 solve this equation

Mathematics

2 answers:

Assoli18 [71]3 years ago

8 0

Answer and Step-by-step explanation:

$The~answer~you~should~be~getting~is :$ $x=\frac{11}{4}$

Step 1: Simplify both sides of the equation:

$1+(-3)(x)+(-3)(-5)=5x+-6$ $(Distribute)$

$1+-3x+15=5x+-6$

$(-3x)+(1+15)=5x-6$ $(Combine~the~like~terms)$

$-3x+16=5x-6$

Step 2: Subtract 5x from both sides:

$-3x+16=5x=5x-6-5x$

$-8x+16=-6$

Step 3: Subtract 16 from both sides:

$-8x+16-16=-6-16$

$-8x=-22$

Step 4: Divide both sides by -8:

$\frac{-8x}{-8} \frac{-22}{-8}$

$x=\frac{11}{4}$

Answer is : $x=\frac{11}{4}$

7nadin3 [17]3 years ago

4 0

Answer:

x= 1/3

Step-by-step explanation:

simplify so you can isolate x quicker: 2x-5=5x-6

subtract 2x from both sides: -5=3x-6

add 6 to both sides: 1=3x

divide both side by the 3 to isolate x: 1/3=x

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1/12 plus 1/4 pleaseee

ser-zykov [4K]

Answer:

1/3

Step-by-step explanation:

1/4 is equal to 3/12. So then we add the 3/12 and the 1/12 and get 4/12. 4/12 is equal to 1/3, so that is our answer. Hope this helps!

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3 years ago

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liberstina [14]

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3 years ago

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seropon [69]

Answer:

38.1%

Step-by-step explanation:

Divide 165 by 433

165/433 = 0.381

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3 years ago

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Brilliant_brown [7]

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5 0

3 years ago

Find the equation of the line that passes through (0, -3) and is parallel to

Tresset [83]

Hey there!

$\\$

Answer:

$\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be $\: \sf{d_1} \:$ and the line that is parallel to $\: \sf{d_1} \:$ be $\: \sf{d_2} \:$ .

$\sf{d_2} \:$ passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

$\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}$

$\\$

⇒Subtitute the values :

$\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}$

$\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}$

$\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}$ .

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

$\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \: the \: line \: and \: b \: is \: the \: y-intercept.}$

$\implies \sf{y = \bold{\dfrac{7}{6}}x + b}$ $\\$

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line $\: \sf{d_1} \:$ . Now, replace y with -3 and x with 0:

$\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Therefore, the equation of the line $\: \bold{d_1} \:$ is $\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

▪️Learn more about finding the equation of a line that is parallel to another one here:

↣brainly.com/question/27497166

8 0

2 years ago

Read 2 more answers

1-3(x-5)=5x-12/2 solve this equation​

1-3(x-5)=5x-12/2 solve this equation