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3 years ago

Which properties justify the steps taken to solve the system? {3x−2y=10 4x−3y=14

Mathematics

2 answers:

Alexeev081 [22]3 years ago

7 0

The answer is: Substitution property of equality.

The explanation is shown below:

1. To solve this problem you must apply the proccedure shown below:

2. When you clear the variable x from the first equation, and subtitute it into the second equation, you obtain:

3x−2y=10
x=(10+2y)/3

4x−3y=14
4[(10+2y)/]−3y=14
 y=-2

3. When you subsitute y=-2 into the first equation and clear the x, you have:

x=2

Eddi Din [679]3 years ago

5 0

Answer:

Just took it!

Step-by-step explanation:

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Given f(x) = 2x + 3 and g(x) = x - 9, what is f(x) + g(x)?

Orlov [11]

Solution:

f(x) = 2x + 3
g(x) = x - 9

f(x) + g(x)
= (2x + 3) + (x - 9)
= 2x + x + 3 - 9
= 3x - 6

6 0

3 years ago

Each marble bag sold by Lucy's Marble Company contains 7 yellow marbles for every 5 green marbles. If a bag has 45 green marbles

Elan Coil [88]

Answer:

63 yellow marbles

Step-by-step explanation:

You can set up this equation as a proportion:

7/5 = x/45

Divide 45 by 5 to see what 7/5 must be multiplied by to get to x/45.

You should get 9, so also multiply 7 by 9 to get this:

7/5 = 63/45

This shows that there are 63 yellow marbles for 45 green marbles.

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3 years ago

Compare and contrast friendfluence and peer pressure. Also add what is same about the two. Plz help due tomorrow!

Vsevolod [243]

Friendfluence and peer pressure are both ways of getting you to do something. one is by your friends, and one is by a certain type of "crowd"

3 0

3 years ago

Graph a line with a slope of -3 that contains the points (4,-2)

Lera25 [3.4K]

Answer:

see below for a graph

Step-by-step explanation:

To draw a graph on a grid, locate the point (4, -2) and use the slope to find another point. One such point will be 1 to the left and up 3*, at (3, 1). With two points, you can draw the line through them to complete the graph.

For a graphing tool that requires an equation, the point-slope form of the equation can be used:

y -k = m(x -h) . . . . . a line of slope m through point (h, k)

For the given slope and point, the equation of the line is ...

y +2 = -3(x -4)

y = -3x +10

_____

* The slope is "rise" over "run". The slope of -3 means that a run of +1 will result in a rise of -3. The given point is already below the x-axis, so we don't really want to find more points farther down. In order to go up on a line with negative slope, we must choose a point to the left of the given one.

3 0

3 years ago

The area of a trapezium is 35cm2.find its altitude if the bases is 6cm and 8cm

r-ruslan [8.4K]

Answer: altitude: 5 cm

Explanation:

$\sf \dfrac{1}{2} ( a + b) h = Area \ of \ trapezium$

[ a and b are bases, h is the altitude ]

Here given:

Area = 35

a = 6

b = 8

h = ?

Solve for altitude:

$\sf \rightarrow \sf \dfrac{1}{2} ( 6 + 8) h = 35 \ \ \ \Rightarrow \ \ \ \dfrac{1}{2} ( 14) h = 35 \ \ \ \ \Rightarrow \ \ \ \ 7 h = 35 \ \ \ \ \Rightarrow \ \ h = \dfrac{35}{7} \ = \ 5$

7 0

2 years ago