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3 years ago

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

Mathematics

2 answers:

Masteriza [31]3 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]3 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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Read 2 more answers

Are the solutions correct?

Aloiza [94]

Answer:

First one is wrong. x should be 16.

Second one is not completely visible, so cannot say.

Step-by-step explanation:

In the last step, the divison by 4 yields:

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3 years ago

4x + 5y = 10

Vika [28.1K]

Answer:

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x + 5y = 10

Ax + By = 16

The general form of linear equation in two variables is given by:

$ax+by = c$

Here a, b and c are constants and x,y are variables.

In the given equations, after comparing with the general form

$a_1 = 4\\b_1 = 5 \\c_1 = 10\\a_2 = A\\b_2 =B\\c_2 = 16$

"In order for a system of equations to have infinity many solutions,

$\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$ "

Putting the values we get

$\frac{4}{A} = \frac{5}{B} = \frac{10}{16}\\\frac{4}{A} = \frac{5}{B} = \frac{5}{8}\\Now\\\frac{4}{A} = \frac{5}{8}\\\frac{A}{4} = \frac{8}{5}\\A = \frac{8}{5} * 4\\A = \frac{32}{5}\\And\\\frac{5}{B} = \frac{5}{8}\\\frac{B}{5} = \frac{8}{5}\\B = 8$

Hence,

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

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