All categories

3 years ago

What is the solution to 5+3(у- 4) =5(y+2) -у

Mathematics

1 answer:

lys-0071 [83]3 years ago

3 0

Answer:

Step-by-step explanation:

5+ 3(у- 4) = 5(y+2) - у

(expand)

5 + 3y - 12= 5y + 10 -y

(combine like terms)

3y - 7= 4y + 10

(move the variables to one side)

-7 = 4y - 3y + 10

(move numbers to one side)

-7 - 10= 4y - 3y

(simplify)

-17 = y or y = -17

I hope this helps!

You might be interested in

The perimeter of a triangle with two equal sides is 46 cm. If it's base were lengthened by 3 cm and each leg were shortened by 5

lana66690 [7]

Answer:

The original triangle has sides of 18 cm, 18 cm and 10 cm

Step-by-step explanation:

Let x cm be the length of the leg of the original triangle and y cm be the length of the base of the original triangle.

1. Since the perimeter of the original triangle is 46 cm, then

x+x+y=46.

2. If it's base were lengthened by 3 cm, then it becomes y+3 cm. If each leg were shortened by 5 cm, then each leg becomes x-5 cm. All three sides became equal, then

y+3=x-5.

3. Solve the system of two equations:

$\left\{\begin{array}{l}2x+y=46\\x-5=y+3\end{array}\right.\Rightarrow \left\{\begin{array}{l}2(y+8)+y=46\\x=y+8\end{array}\right.,\ 2y+y=46-16,\ 3y=30,\ y=10\ cm.$

Then $x=10+8=18\ cm.$

3 0

3 years ago

Algebra 1 please help!! 35 points!!!

Zanzabum

Answer:

x intercept: 5

y intercept: 50

Step-by-step explanation:

let us plot the graph for better understanding.

we will represent f(x) on y-axis so, the equation will become: y= 50-10x

the equation is of the form : y=mx+c

[where, m: slope of the line

c : y-intercept ]

meaning of x intercept: the x-coordinate of the point where the line meets x-axis

meaning of y intercept: the y-coordinate of the point where the line meets y-axis

the line y= 50-10x has slope of -10 and it passes through (0,50)

[ (0,50) lies on the line only. substitute and check if the point satisfies the above line equation]

by seeing the graph in the attachment and by the definitions given above, we can say that,

x intercept: 5

y intercept: 50

4 0

3 years ago

A runner ran 20 miles in 150 minutes.

cestrela7 [59]

Answer:

a) 45 minutes

b) 2 miles

c) 8 miles per hour

d) 7.5 minutes per mile

Step-by-step explanation:

a) (150/20) x 6 = 45 minutes

b) (20/150)(15) = 2 miles

c) (20/150)(60) = 8 miles per hour

d) 150/20 = 7.5 minutes per mile

7 0

3 years ago

Read 2 more answers

1) Bianca ordered a shirt online that cost her $23 total.

zheka24 [161]

Answer:

Bianca is paying $22.08

Step-by-step explanation:

If the Shirt Cost 23$ in total, and the seller took 4% off the original price, Which means

4% of 23$ = 0.92 cents, now clearly it says "IT TOOK OFF"

So, now you subtract 0.92 from the original price, to find the new price.

Here the original price is 23$,

23$ - 0.92 = 22.08$, so that means...

Bianca ended up paying $22.08

3 0

2 years ago

Quizzzz !! Plzzzz help

Tomtit [17]

QUESTION 1

a) The zeros of the function are the x-values at which the graph touches the x-axis.

From the graph, the zeros are;

$x=0,x=-4$

b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.

$x=-2$

c) The maximum value is the y-value of the vertex.

Max: y=4

d) The vertex is the maximum point on the graph.

Vertex: (-2,4).

QUESTION 2

a) The graph touches the x-axis at only one point.

From the graph, the zero is $x=-2$

b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.

$x=-2$

c) The minimum value is the y-value of the vertex.

Min: y=0

d) The vertex is the minimum point on the graph.

Vertex: (-2,0).

QUESTION 3

a) The graph touches the x-axis at two points.

From the graph, the zeros are $x=-3,x=3$

b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.

$x=0$

c) The minimum value is the y-value of the vertex.

Min: y=-9

d) The vertex is the minimum point on the graph.

Vertex: (0,-9).

QUESTION 4

a) The zeros of the function are the x-values at which the graph touches the x-axis.

From the graph, the zeros are;

$x=-3,x=-5$

b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.

$x=-4$

c) The maximum value is the y-value of the vertex.

Max: y=1

d) The vertex is the maximum point on the graph.

Vertex: (-4,1).

QUESTION 5

a) The graph touches the x-axis at two points.

From the graph, the zeros are $x=3,x=7$

b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.

$x=5$

c) The minimum value is the y-value of the vertex.

Min: y=-4

d) The vertex is the minimum point on the graph.

Vertex: (5,-4).

QUESTION 6

a) The graph does not touch the x-axis.

The function has no real zeros.

b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.

$x=2$

c) The minimum value is the y-value of the vertex.

Min: y=5

d) The vertex is the minimum point on the graph.

Vertex: (2,5).

QUESTION 7

a) The graph touches the x-axis two points.

The function has zeros at x=1 and x=5

b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.

$x=3$

c) The minimum value is the y-value of the vertex.

Min: y=-4

d) The vertex is the minimum point on the graph.

Vertex: (3,-4).

QUESTION 8

a) The zeros of the function are the x-values at which the graph touches the x-axis.

From the graph, the zeros are;

$x=0,x=-2$

b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.

$x=-1$

c) The maximum value is the y-value of the vertex.

Max: y=1

d) The vertex is the maximum point on the graph.

Vertex: (-1,1).

QUESTION 9

a) The graph touches the x-axis at only one point.

From the graph, the zero is $x=5$

b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.

$x=5$

c) The minimum value is the y-value of the vertex.

Min: y=0

d) The vertex is the minimum point on the graph.

Vertex: (5,0).

5 0

4 years ago

What is the solution to 5+3(у- 4) =5(y+2) -у​

What is the solution to 5+3(у- 4) =5(y+2) -у