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Artist 52 [7]
3 years ago
12

What is the value of x in the solution to this system of equations 3x=2y+14 y=-6x+18

Mathematics
1 answer:
Radda [10]3 years ago
4 0

Answer:

x=10/3 (or 3.33333333 repeating)

y= -2

Step-by-step explanation:

wayyyy too hard to explain but you can also search photomath and im sure itll give you a good explanation

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the fruits that they have are 280 right so by 35 percent is 9800 of a percent

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3 years ago
Mason is working two summer jobs, making $20 per hour lifeguarding and making $10 per hour landscaping. In a given week, he can
alexgriva [62]

Answer:

x = 4\\y = 9 hours

Step-by-step explanation:

Given -

x represents the number of hours lifeguarding and y represents the number of hours landscaping

x+ y = 13 -----Eq ( 1 )

and

20 * x + 10 * y = 170 -----Eq ( 2 )

Substituting the value of x = 13-y in equation 2, we get -

20* (13 - y) + 10 y = 170

260 - 20 y + 10 y = 170\\10y = 90\\y = 9

x = 13-9 = 4

6 0
3 years ago
Which ordered pair is a solution to this equation?
mezya [45]

<u>Part 1)</u> Which ordered pair is a solution to this equation?

2x + 3y = 16

Substitute the values of each pair ordered in the equation to find the solution

A. (5, 2)

2*5 + 3*2 = 10+6\\  16=16

<u>The pair ordered A is a solution</u>

B. (3, 2)

2*3 + 3*2 = 6+6

12\neq 16

<u>The pair ordered B is not a solution</u>

C. (11, 1)

2*11 + 3*1 = 22+3

25\neq 16

<u>The pair ordered C is not a solution</u>

D. (7, 2)

2*7 + 3*2 = 14+6

20\neq 16

<u>The pair ordered D is not a solution</u>

therefore

<u>the answer part 1) is</u>

The ordered pair A. (5, 2) is a solution of the equation

<u>Part 2) </u>The equation of a line is -2x+5y=-20


we know that

the x-intercept is when the value of y is equal to zero

so

for y=0

<u>Find the value of x</u>

substitute

-2*x+5*0=-20

-2*x=-20

x=10

therefore

<u>the answer part 2) is </u>

The x-intercept is equal to 10

<u>Part 3) </u>What is the slope of the line passing through the points (2, -5) and (4, 1)?

we know that

the slope of the line is equal to

m=\frac{(y2-y1)}{(x2-x1)}

Substitute the values in the formula

m=\frac{(1+5)}{(4-2)}

m=\frac{(6)}{(2)}

m=3

therefore

<u>the answer part 3) is</u>

The slope of the line is equal to 3

<u>Part 4)</u> Select all statements that are true about the linear equation.

y = 4x- 3

<u>Statements</u>

a) The graph of the equation is the set of all points that are solutions to the equation

<u>This statements is True</u>------> Any point that belongs to the graph of the equation is the solution to the equation

b) The point (0,-3) is on the graph of the equation

substitute the values in the equation

-3 = 4*0- 3

-3 = - 3 ----> the point is on the graph of the equation

therefore

<u>This statements is True</u>

c) The point (1, 1) is on the graph of the equation

substitute the values in the equation

1 = 4*1- 3

1 = 1 ----> the point is on the graph of the equation

therefore

<u>This statements is True</u>

d) The graph of the equation is a single point representing one solution to the equation

<u>This statements is False</u> ------> the equation graph are infinite points, representing infinite equation solutions

7 0
3 years ago
Read 2 more answers
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