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2 years ago

Make x the subject of the formula y = 7 x + 4

Mathematics

2 answers:

Masteriza [31]2 years ago

8 0

Answer:

$x= \frac{y-4}{7}$

Step-by-step explanation:

$y=7x+4$

Subtract 4 from both sides.

$y-4=7x+4-4$

$y-4=7x$

Divide by 7 on both sides.

$\frac{y-4}{7} =7x/7$

$x= \frac{y-4}{7}$

Anastaziya [24]2 years ago

7 0

Answer:

x = (y+4) / 7

Step-by-step explanation:

7x+4 = y

7x = y+4

x = (y+4) / 7

Hope this helps.

Good Luck

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If a is directly proportional to b, and a = 25 when b = 35, find b when a = 40

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If a is directly proportional to b, we have the relationship to be:

$\begin{gathered} a\propto b \\ \therefore \\ a=kb \\ where \\ b=constant \end{gathered}$

When a = 25, b = 35. Therefore, we can calculate the value of k as follows:

$\begin{gathered} 25=35k \\ k=\frac{25}{35} \\ k=\frac{5}{7} \end{gathered}$

Therefore, the relationship is given to be:

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When a = 40, we can calculate the value of b to be:

$\begin{gathered} 40=\frac{5}{7}b \\ 40\times7=5b \\ 5b=280 \\ b=\frac{280}{5} \\ b=56 \end{gathered}$

The value of b is 56.

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