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3 years ago

If 3t − 7 = 5t , then 6t = how do you solve this

Mathematics

2 answers:

Alik [6]3 years ago

4 0

$3t-7=5t \ \ \ |\hbox{subtract 3t} \\ -7=5t-3t \\ -7=2t \ \ \ |\hbox{multiply by 3} \\ \boxed{6t=-21}}$

Ksivusya [100]3 years ago

4 0

$3t-7=5t\\
5t-3t=-7\\
2t=-7|\cdot3\\
\boxed{6t=-21}
$

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olasank [31]

The y intercept of a graph containing the two points (3,1) and (7,-2) is $\frac{13}{4}$

Solution:

Given points are (3, 1) and (7, -2)

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Let us first find the slope of line

The slope of line is given as:

$m = \frac{y_2-y_1}{x_2-x_1}$

Here the points are (3, 1) and (7, -2)

$(x_1, y_1) = (3, 1)\\\\(x_2, y_2) = (7, -2)$

Substituting in formula, we get

$m = \frac{-2-1}{7-3}\\\\m = \frac{-3}{4}$

To find the y intercept:

$\text{Substitute } m = \frac{-3}{4} \text{ and } (x, y) = (3, 1) \text{ in eqn 1 }$

$1 = \frac{-3}{4} \times 3 + c\\\\1 = \frac{-9}{4} + c\\\\ \text{Simplify the above equation } \\\\1 = \frac{-9+4c}{4}\\\\4 = -9 + 4c\\\\13 = 4c\\\\\text{Divide both sides by 4 }\\\\c = \frac{13}{4}$

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3 years ago

Stephanie has the same number of dimes and nickels. She has $6.10 in all. Write an equation that you could use to find the numbe

Igoryamba

Answer:

The equation is

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Step-by-step explanation:

A dime is 10 cents while a nickel is 5 cents

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Vlad1618 [11]

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