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3 years ago

Solve: simultaneous equations 3x + 4y = 27 x + 4y = 17

Mathematics

1 answer:

Leni [432]3 years ago

4 0

Answer:

x = 5, y = 3

Step-by-step explanation:

<u>Elimination method: (I will be eliminating 4y) </u>

3x + 4y = 27 --- Equation 1

x + 4y = 17 --- Equation 2

Equation 1-2: 3x + 4y - x - 4y = 27 - 17

2x = 10

x = 10 ÷ 2

x = 5

Substitute x = 5 into Equation 2:

x + 4y = 17

4y + 5 = 17

4y = 17 - 5

= 12

y = 12 ÷ 4

y = 3

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Distance between (-3, 4/11) and (3, 4/11)

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Step-by-step explanation:

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3 years ago

FACTOR EACH EXPRESSION, IF IT CANT BE FACTORED WRITE CANNOT BE FACTORED. 1. 4x+12

dimaraw [331]

1.) 4(x+3)
Find the GCF, Greatest Common Factor, of 4x and 12.
4x=2*2*x
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The greatest common factor is 4. Put this outside of the parentheses. (You would multiply the 2*2)
Then, put the rest of the factors as a sum. (Only the factors on the same line.)
Solution: 4(x+3)

To check, distribute to see if it works.

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2.) 2(4r+7)
Find the GCF of 8r and 14
8r=2*2*2*r
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The greatest common factor is 2. (There is only 1 two, so you would not multiply them.)
Then, put the rest of the factors as a sum. (Only the factors on the same line.)
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To check, distribute to see if it works.

8r-14

Do you get it now?

3.) 5(x+7)
4.) 7(2x+1)
5.) Cannot be factored.

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Find the GCF of 32x and -15

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-15: -1*5*3

Because there are no similar factors other than 1, it cannot be factored.

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4 0

3 years ago

Read 2 more answers

(60 points)

natka813 [3]

Answer:

Step-by-step explanation:

$2.\\(a-b)^2=a^2-2ab+b^2\\\\x^2-16x=-8\\\\x^2-2(x)(8)=-8\\\\\text{We have}\ 2ab=2(x)(8).\ \text{Therefore}\ b=8.\\\\x^2-2(x)(8)=-8\qquad\text{add}\ 8^2=64\ \text{to both sides}\\\\x^2-2(x)(8)+8^2=-8+64\\\\(x-8)^2=56$

$5.\\2x^2+x-1=2\qquad\text{subtract 2 from both sides}\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\qquad\text{subtract 3 from both sides}\\2x=-3\qquad\text{divide both sides by 2}\\\boxed{x=-\dfrac{3}{2}}\\\\x-1=0\qquad\text{add 1 to both sides}\\\boxed{x=1}$

$6.\\2x^2-4x=0\qquad\text{divide both sides by 2}\\\\x^2-2x=0\\\\x(x-2)=0\iff x=0\ \vee\ x-2=0\\\\\boxed{x=0}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}$

8 0

3 years ago

Linear equation 1/2X+Y=6

krek1111 [17]

You can graph it but cant answer it because there is two variables so try and change it to slope intercept form do you know how ???????

5 0

3 years ago

Solve for g: 4g/14 - 3/7 - g/14 = 3/14

Luden [163]

<span><u><em>Answer:</em></u>
g = 3

<u><em>Explanation:</em></u>
To solve for g, we will need to isolate the g on one side of the equation.
<u>This can be done as follows:</u>
</span> $\frac{4g}{14} - \frac{3}{7} - \frac{g}{14} = \frac{3}{14}$ <span>

<u>1- multiply all terms by 14 to get rid of the fraction:</u>
4g - 6 - g = 3

<u>2- Combine like terms:</u>
4g - g = 3 + 6
3g = 9

<u>3- Isolate the g:</u>
</span> $\frac{3g}{3} = \frac{9}{3}$
<span>
g = 3

Hope this helps :)</span>

8 0

3 years ago

Read 2 more answers