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wolverine [178]
2 years ago
13

Solve equation -5(5b+7)=7b+29

Mathematics
1 answer:
Neko [114]2 years ago
5 0

Answer:

b = -2

Step-by-step explanation:

-5(5b+7)=7b+29

Distribute

-25b -35 = 7b +29

Add 25b to each side

-25b+25b-35 =7b+25b+29

-35 = 32b+29

Subtract 29 from each side

-35-29 = 32b+29-29

-64 = 32b

Divide each side by 32

-64/32 = 32b/32

-2 =b

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Here are a couple I found:

<u>Similarities</u>:

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  • They are both in slope-intercept form.

<u>Differences</u>:

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  • They have different x-intercepts. (y = 2x + 5 intersects (-\frac{5}{2}, 0) while y = -13x + 5 intersects at (\frac{5}{13}, 0)

<u></u>

<u>Explanation</u>:

Slope-intercept form is y = mx + b, and by looking at the equations, they both already fit that format, with m as their slope and b as their y-intercept. Also, since they both have a 5 as that "b," their y-intercepts are the same: (0,5).

As for differences, we can see that the coefficient in place of that "m" is positive in y = <u>2x</u> + 5 and negative in y = <u>-13x</u> + 5. Therefore, one line would rise due to their slope being positive and one would fall due to their slope being negative. They also have two different x-intercepts, which we can calculate by substituting 0 in place of the y, then isolating x.

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