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3 years ago

Solve for x and y (use elimination or substitution). Show work.

Mathematics

2 answers:

Olenka [21]3 years ago

8 0

Yap this is the answer

mihalych1998 [28]3 years ago

5 0

7x+3y-1 = 10x -7y+9 as vertical angles

7x+3y-1 + x = 180 as supplementary angles

So, we have system of equations:

7x+3y-1 = 10x -7y+9 (1)

7x+3y-1 + x = 180 (2)

1) Simplify equation (1)

7x+3y-1 = 10x -7y+9 -----> -3x +10y =10

2) Simplify equation (2)

7x+3y-1 + x = 180 -----> 8x +3y = 181

(-3x +10y =10)*8 ------> -24x+80y =80

( 8x +3y = 181)*3 ---------> 24x + 9y = 543

-24x+80y =80

+24x + 9y = 543

89y = 623

y = 7

5) -3x +10y =10

-3x + 10*7 =10

-3x +70 =10

-3x = -60

x=20

Answer : x=20, y = 7

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The legth of a rectangle is the same as the legth of each side of a square. The legth rectangle is 4 cm more than 3 times the wi

ankoles [38]

Let, length and breadth of rectangle is L and B respectively.

It is given that :

The length rectangle is 4 cm more than 3 times the width of the rectangle.

L = 3B + 4 ......1 )

Also, area of square = area of the rectangle + 66

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Putting value of L from

L² = ( 3B + 4 )( B ) + 66

L² = 3B² + 4B + 66

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9B² + 16 + 24B = 3B² + 4B + 66

6B² + 20B - 50 = 0

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L = 3( 5/3 ) + 4

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Hence, this is the required solution.

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3 years ago

3(1)+2(_)=6 plz help on filling in the blank

TEA [102]

Answer:

x = 3/2

Step-by-step explanation:

Let's solve your equation step-by-step.

(3)(1)+2x=6

Step 1: Simplify both sides of the equation.

(3)(1)+2x=6

3+2x=6

2x+3=6

Step 2: Subtract 3 from both sides.

2x+3−3=6−3

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Step 3: Divide both sides by 2.

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Hope this helps :)

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3 years ago

√ 19 + 6^2 ÷ 7.2^2 I need help ASAP

kumpel [21]

Answer:

0.143059384

Step-by-step explanation:

=> $\frac{\sqrt{19+6^2} }{7.2^2}$

=> $\frac{\sqrt{19+36} }{51.84}$

=> $\frac{\sqrt{55} }{51.84}$

=> $\frac{7.416}{51.84}$

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3 years ago

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tekilochka [14]

Answer:

$16x^2-9$

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$\left(4x+3\right)\left(4x-3\right)$

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$\left(a+b\right)\left(a-b\right)=a^2-b^2$

$\longmapsto$ $\left(4x+3\right)\left(4x-3\right)$

$\longmapsto$ $\left(4x\right)^2-3^2$

Apply exponent rule:

$\left(a\times \:b\right)^n=a^nb^n$

$\longmapsto$ $4^2x^2-3^2$

$\longmapsto$ $16x^2-9$

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2 years ago

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GREYUIT [131]

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