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3 years ago

Please help me I need the work

Mathematics

1 answer:

Butoxors [25]3 years ago

6 0

Let's solve your system by substitution.
2
x
−
3
y
=
1
;
3
x
+
2
y
=
6

Step: Solve
2
x
−
3
y
=
1
for x:
2
x
−
3
y
=
1
2
x
−
3
y
+
3
y
=
1
+
3
y
(Add 3y to both sides)
2
x
=
3
y
+
1
2
x
2
=
3
y
+
1
2
(Divide both sides by 2)
x
=
3
2
y
+
1
2

Step: Substitute
3
2
y
+
1
2
for
x
in
3
x
+
2
y
=
6
:
3
x
+
2
y
=
6
3
(
3
2
y
+
1
2
)
+
2
y
=
6
13
2
y
+
3
2
=
6
(Simplify both sides of the equation)
13
2
y
+
3
2
+
−
3
2
=
6
+
−
3
2
(Add (-3)/2 to both sides)
13
2
y
=
9
2
13
2
y
13
2
=
9
2
13
2
(Divide both sides by 13/2)
y
=
9
13

Step: Substitute
9
13
for
y
in
x
=
3
2
y
+
1
2
:
x
=
3
2
y
+
1
2
x
=
3
2
(
9
13
)
+
1
2
x
=
20
13
(Simplify both sides of the equation)

Answer:
x
=
20
13
and
y
=
9
13

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Any help with this question please?

taurus [48]

Answer:

B.a=b, c≠0

C.a=b, c=0

D.a-b=1, c≠1

Step-by-step explanation:

The equation given is c = ax - bx. We can factor the right-hand side to obtain an equivalent equation which is c = (a-b)x

Let’s explore each answer choice given. We are looking for cases where there is no one solution for the equation.

a-b = 1 so the right-hand side becomes 1x and we have x=c. Since c is 0 we have one solution that is x=0

a=b so a-b =0 and the equation becomes 0=c but the answer choice says c does not equal zero. So in this case there is no solution. This is a correct answer to the problem.

This is the same as choice B but since C =0 both sides of the equation equal zero. We get 0=0 but notice that this is true no matter what the value of x is so this equation is called identity and any value of x will do so there isn’t one solution but rather infinitely many. This is another right answer.

Here a-b=1 so we end up with x = c and since c doesn’t equal one any value of x except 1 is a solution so there isn’t one solution but infinitely many. This too is an answer to the question.

Since a doesn’t equal b and since c = 0 we have (a-b)x = 0 so. Either a-b is zero but since a and b are different this can’t be or x is zero. This there is one solution: x=0.

From the above, the answer to the question is choices B, C, and D

8 0

3 years ago

Which statement must be true? a b c d

lozanna [386]

ANSWER

$\boxed {m \ne0}$

EXPLANATION

The given function is

$f(x) = mx + b$

We need to find the inverse of this function,

Let

$y= mx + b$

We interchange x an y to obtain,

$x = my + b$

We solve for y now to obtain,

$x - b = my$

We divide through by m to get,

$\frac{x - b}{m} = y$

Hence the inverse function is ,

${f}^{ - 1} (x) = \frac{x - b}{m}$

For this inverse to exist, the denominator must not be equal to zero,

Thus

$m \ne0$

The correct answer is A.

8 0

2 years ago

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HELP ME PLZ I NEED IT

Alchen [17]

Answer:

= 12 cm^3

Step-by-step explanation:

V = Bh where B is the area of the base and h is the height

For a triangular prism, the base is the triangle

A = 1/2 bh for the triangle

= 1/2 (6*2)

= 6 cm^2

To find the volume for the triangular prism

V = Bh

= 6 * 2

= 12 cm^3

4 0

2 years ago

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