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3 years ago

What is the value of x if 2x+4=3

Mathematics

1 answer:

kolezko [41]3 years ago

5 0

$2x + 4 = 3 \\ \\ 2x = 3 - 4 \\ \\ 2x = - 1 \\ \\ x = - \frac{1}{2}$

# Bora 7#

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Heights in inches of several tomato plants : 16,18,18,20,17,10,18,17 mean absolute deviation :

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18 would have to be the mean because of the average

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3 years ago

Neo mixes 600ml of black paint with white paint in order to get grey paint. He thinks the colour came out too dark, so he decrea

butalik [34]

Answer:

the black paint is of 200 ml

Step-by-step explanation:

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2 years ago

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3 years ago

55. If 3x = 4y, the value of (x + y)^2 : (x - y)^2 is:<br>

ladessa [460]

Answer:

$\large\boxed{(x+y)^2:(x-y)^2=49}$

Step-by-step explanation:

$3x=4y\qquad\text{subtract}\ 3y\ \text{from both sides}\\\\3x-3y=y\qquad\text{distributive}\\\\3(x-y)=y\qquad\text{divide both sides by 3}\\\\x-y=\dfrac{y}{3}\qquad(*)\\------------------\\3x=4y\qquad\text{add}\ 3y\ \text{to both sides}\\\\3x+3y=7y\qquad\text{distributive}\\\\3(x+y)=7y\qquad\text{divide both sides by 3}\\\\x+y=\dfrac{7y}{3}\qquad(**)\\------------------$

$(x+y)^2:(x-y)^2=\dfrac{(x+y)^2}{(x-y)^2}\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\=\left(\dfrac{x+y}{x-y}\right)^2\qquad\text{substitute}\ (*)\ \text{and}\ (**)\\\\=\left(\dfrac{\frac{7y}{3}}{\frac{y}{3}}\right)^2=\left(\dfrac{7y}{3}\cdot\dfrac{3}{y}\right)^2\qquad\text{cancel}\ 3\ \text{and}\ y\\\\=(7)^2=49$

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3 years ago

Y=-2x+2<br> y = 7x +11<br> Solve systems by substitution

Agata [3.3K]

Answer: (-1,4)

Step-by-step explanation:

y=-2x+2 y=7x+11 <----- substitute this equation for y in the

equation y=-2x+2

7x+11=-2x+2 Add 2x to both sides

9x+11=2 Subtract 11 from both sides

9x=-9 Divide both sides by 9

x=-1

y=-2(-1)+2 Plug in x to one of the equations, I chose y=-2x+2

y=2+2 because it was the easiest, then solve

y=4

Solution is (-1,4)

5 0

3 years ago