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ki77a [65]
3 years ago
9

Glenn bought a game system and 3 video games for $375. Jim bought a game system and 4 video

Mathematics
1 answer:
Sever21 [200]3 years ago
8 0

Answer:

Cost of each video game = $35

Cost of each video game = $270

Step-by-step explanation:

Given:

Cost of 1 game system and 3 video game = $375

Cost of 1 game system and 4 video game = $410

Find:

Cost of each game system and each video game

Computation:

Assume;

Cost of each game system = g

Cost of each video game = v

So,

g + 3v = 375 ........ EQ1

g + 4v = 410 ......... EQ2

EQ 2 - EQ 1

4v - 3v = 35

v = 35

Cost of each video game = $35

g + 3v = 375

g + 3(35) = 375

g = 375 - 105

g = 270

Cost of each video game = $270

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Answer:

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Step-by-step explanation:

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3 years ago
7x-6y=15<br> -9x+6y=-9 Please help out
olga55 [171]

Geometric figure: Straight Line

Slope = 2.333/2.000 = 1.167
x-intercept = -15/7 = -2.14286
y-intercept = 15/6 = 5/2 = 2.50000
Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

7*x-6*y-(-15)=0

Step by step solution :

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Step 1 :

Equation of a Straight Line

1.1 Solve 7x-6y+15 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 7x-6y+15 = 0 and calculate its properties

Graph of a Straight Line :



Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 5/2 so this line "cuts" the y axis at y= 2.50000

y-intercept = 15/6 = 5/2 = 2.50000
Calculate the X-Intercept :

When y = 0 the value of x is -15/7 Our line therefore "cuts" the x axis at x=-2.14286

x-intercept = -15/7 = -2.14286
Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.500 and for x=2.000, the value of y is 4.833. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.833 - 2.500 = 2.333 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 2.333/2.000 = 1.167
Geometric figure: Straight Line

Slope = 2.333/2.000 = 1.167
x-intercept = -15/7 = -2.14286
y-intercept = 15/6 = 5/2 = 2.50000
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