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3 years ago

Please use elimination 3х - бу = 18 2x + 2y = 6

Mathematics

2 answers:

Molodets [167]3 years ago

8 0

Answer:

x = 4

Step-by-step explanation:

3x - 6y = 18

2x + 2y = 6 -> 3(2x + 2y = 6)

3x - 6y = 18 -> Cross out - 6y

6x + 6y = 18 -> Cross out + 6y

9x = 36 -> Divide 9 on both sides.

X = 4

Semmy [17]3 years ago

5 0

Answer: x=4, y=-1

Step-by-step explanation:

Make a table of solutions that work for 2x+2y=6

0,3

1,2

2,1

3,0

4,-1

Now try them in 3x-6y=18

The one that works is 4,-1

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In a group of 100 adults, 70 say they are most likely to do spring houseclean-ing in March, April, or May. Of these 70, the numb

son4ous [18]

Answer:

Adults that clean in March = 18

Adults that clean in April = 48

Adults that clean in May = 4

Step-by-step explanation:

Adults that clean in the months of March, April and May = 70

Let a represent March, b represent April and c represent May.

Therefore, a + b + c = 70 (i)

From the question, the number of adults that clean in April is 14 more than number of the adults cleaning in months of March and May combined.

b - ( a + c) = 14 (ii)

also, the total number who clean in April and May is 2 more than three times the number who clean in March.

b + c - 3a = 2 (iii)

From (i), a + c = 70 - b (iv)

Substituting (iv) into (ii), b - ( 70 - b) = 14

b -70 + b = 14

2b = 84, b =48

Therefore a + c = 70 - 48

a + c = 22; c = 22 - a (v)

Substituting (v) and b = 48 into (iii)

48 + 22 - a -3a = 2

4a = 72, a = 18

Therefore, c = 22 - 18

c = 4

8 0

3 years ago

An architect is constructing a model building by using a ratio os 1:300. If the height of the scale model is 3 1/2 inches what i

atroni [7]

$\bf \cfrac{model}{actual}\qquad 1:300\qquad \cfrac{1}{300}\qquad \qquad \cfrac{3\frac{1}{2}}{a}=\cfrac{1}{300}\implies \cfrac{\frac{3\cdot 2+1}{2}}{a}=\cfrac{1}{300}
\\\\\\
\cfrac{\quad \frac{7}{2}\quad }{a}=\cfrac{1}{300}\implies \cfrac{\quad \frac{7}{2}\cdot 300\quad }{1}=a\implies 1050=a$

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3 years ago

Pick the correct description of the line 3x + 3 = y

lbvjy [14]

M=3 therefore y is slanted right downwards

6 0

3 years ago

Please help with this question

Vladimir [108]

The answer is c because when you have 1 number and a variable(s) you just add the number to the variable(s)

6 0

2 years ago

Read 2 more answers

What are the coordinates of the hole in the graph of the function f(x) ?

Vinvika [58]

ANSWER

$(3, \infty )$

EXPLANATION

The given function is

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$

When we plug in x=3 into this function, we obtain,

$f(3) = \frac{0}{0}$

This means that the function is discontinuous at x=3.

We need to simplify the function to obtain,

$f(x) = \frac{(x - 3)(x + 3)}{(x - 3)}$

This implies that,

$f(x) = x + 3$

The graph this function is a straight line that is continuous everywhere.

To graph

$f(x) = \frac{ {x}^{2} - 9}{x - 3}$
we draw the graph of

$f(x) = x + 3$
and leave a hole at x=3.

See diagram in attachment.

Hence the coordinates of hole is

$(3, \infty )$

6 0

3 years ago