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3 years ago

Substitution method4x + y = 146x - 3y = 3

Mathematics

1 answer:

lakkis [162]3 years ago

3 0

Answer:

x = 2.5
y = 4

Step-by-step explanation:

We know that:

4x + y = 14
6x - 3y = 3

Let's first solve for y by choosing any equation.

4x + y = 14
=> y = 14 - 4x

Now, let's substitute the value of y into the second equation.

6x - 3y = 3
=> 6x - 3(14 - 4x) = 3
=> 6x - 42 + 12x = 3
=> 18x - 42 = 3
=> 18x = 42 + 3
=> 18x = 45
=> x = 45/18 = 5/2 = 2.5

Now, let's substitute the value of x into the equation of y.

=> 14 - 4x = y
=> 14 - 4(2.5) = y
=> 14 - 10 = y
=> y = 4

Hence, the value of x and y are 2.5 and 4 respectively.

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Answer:

Step-by-step explanation:

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Besides we find that

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3 years ago

Given the function y=log3(x+2)-2. List the transformations

slava [35]

Answer:

Exponential transformation.

Step-by-step explanation:

y = log_3 (x + 3) - 2

To transform this into exponential, we have:

Adding 2 to both sides

y + 2 = log_3 (x + 3)

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3 years ago

A construction worker needs to determine the volume of a sandpille in a construction yard as shown

postnew [5]

Answer:
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Step-by-step explanation:
The answer is 6580cm because....
Step one First let's figure out what the smaller shape's volume is. To do so we need to multiply ( LxWxH ) so 6x5x? it does not list what the height is so we know it has the same height as the larger shape and it's height is 14cm so we will use 14cm. 6x5x14=420cm
Step two Now lets find the Volume of the larger shape. So lets do LxWxH so Lx?x14 it does not give us the length so we need to add up all of the numbers along the line. We got 7cm then 5 from the bottom of the smaller shape and 10cm. all ads up to 22cm so 20x22x14=6160
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3 years ago

If your dinner bill was $80 and you left a 15% tip. How much money did you leave as a tip? What is your total bill cost?

nadya68 [22]

Answer: 92 dollars because 15% divided into 80 is 12 and add 80 to 12 and its 92

6 0

3 years ago

Jay sells 10 packs of apples for 80p. He wants to make £75 at the end of the year. How many packs of apples does he need to sell

ipn [44]

Answer:

937.5 packs of apples

Step-by-step explanation:

Note that:

100p = £1

80p = x

Cross Multiply

100x = 80p × £1

x = 80/100

x = £0.8

Jay sells 10 packs of apples for 80p.

Hence:

£0.8 = 10 packs of apples

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Cross Multiply

£0.8 × x = £75 × 10 Packs

x = £75 × 10 Packs/£0.8

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Therefore, to make £75 at the end of the year, he has to sell 937.5 packs of apples

3 0

2 years ago

Substitution method4x + y = 146x - 3y = 3​

Substitution method4x + y = 146x - 3y = 3