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3 years ago

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

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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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

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