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notsponge [240]
3 years ago
13

Solve the system of equations using substitution -3x + 2y = 12 x = 2y - 8

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer:

(-2, 3)

Step-by-step explanation:

Given the system of equations:

-3x + 2y = 12

x = 2y - 8

You can 'substitute' the expression '2y - 8' for the value of 'x' in the first equation and solve for 'y':

-3(2y - 8) + 2y = 12

Distribute: -6y + 24 + 2y = 12

Combine like terms: -4y + 24 = 12

Subtract 24 from both sides: -4y + 24 - 24 = 12 - 24 or -4y = -12

Divide both sides by -4: -4y/-4 = -12/-4  or y = 3

Use y = 3 to solve for 'x':

x = 2(3) - 8 or 6 - 8

x = -2

(-2, 3)

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GIven that GR= x+5 and GP= 2x-3 which expression below calculates the perimeter of this gate? (x+5) + (2x-3) (x+5) + (2x-3) 2(x+
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Answer:

P = 2(x + 5) + 2(2x - 3)

Step-by-step explanation:

GIven that GR= x+5 and GP= 2x-3 which expression below calculates the perimeter of this gate?

The shape of the gate is rectangular.

Hence, the Perimeter of a rectangle (the gate) = 2L + 2W

Where :

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W = GP = 2x - 3

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Read 2 more answers
Determine whether each relation is a function. Give the domain and range for each relation.
brilliants [131]

Answer:

Not a function

Domain: {3,4}

Range: {4,5}

Step-by-step explanation:

A function is a relation where each input has its own output. In other words if the x value has multiple corresponding y values then the relation is not a function

For the relation given {(3, 4), (3, 5), (4, 4), (4, 5)} the x value 3 and 4 have more than one corresponding y value therefore the relation shown is not a function

Now let's find the domain and range.

Domain is the set of x values in a relation.

The x values of the given relation are 3 and 4 so the domain is {3,4}

The range is the set of y values in a relation

The y value of the given relation include 4 and 5

So the range would be {4,5}

Notes:

The values of x and y should be written from least to greatest when writing them out as domain and range.

They should be written inside of brackets

Do not repeat numbers when writing the domain and range

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2 years ago
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