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2 years ago

Please help me with this algebra problem -3(x-5)+4x=24

Mathematics

2 answers:

kozerog [31]2 years ago

5 0

Answer:

x=9

Step-by-step explanation:

Distribute -3 into (x-5)

-3x+15+4x=24

then combine like terms

x+15=24

isolate the variable and subtract 15 from both sides

x=9

kobusy [5.1K]2 years ago

5 0

Answer:

Step-by-step explanation:

-3(x-5)+4x=24

Multiply the -3 with the stuff in the ( ) and you get -3x+15 since a negative and a negative equal a positive the 15 is positive so now you have -3x+15+4x =24 now you add like terms and you have 1x+15=24 then -15 from both sides so 15-(-15) cancels out then 24-15=9 then you have 1x=9 divide the 1x end the answer is x=9

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2 years ago

The pair of points (g, -1) and (2, 5) lie on a line with a slope of 3/2. What is the value of g?

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Answer:

$\huge{ \boxed{ \bold{g = - 2}}}$

Step-by-step explanation:

In order to find g we have to use the formula for finding the slope of the line passing through two points that's

$m = \frac{y_2 -y_ 1}{x_2 -x_1 } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are (g, -1) and (2, 5) and m = 3/2

We substitute it into the equation and find g

That's

$\frac{3}{2} = \frac{5 - - 1}{2 - g} \\ \frac{3}{2} = \frac{5 + 1}{2 - g } \: \: \: \: \: \: \: \frac{3}{2} = \frac{6}{2 - g} \\ \\ 3(2 - g) = 6(2) \\ 6 - 3g = 12 \\ - 3g = 12 - 6 \\ - 3g = 6 \\ \\ \frac{ - 3g}{ - 3} = \frac{6}{ - 3} \\ \\ g = - 2$

We have the final answer as

Hope this helps you

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