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2 years ago

-14x + 11y = 23 7x - 3y = 37 Solve for x and y

Mathematics

2 answers:

butalik [34]2 years ago

5 0

Answer:

y=2.64

x=0.15

Step-by-step explanation:

-14x+11y=237x-3y=37

14y=251x=37

14y=37

y=2.64

251x=37

x=0.15

labwork [276]2 years ago

3 0

Answer:

x = 68/5, y = 97/5

Step-by-step explanation:

We can solve your system of equations by the method of elimination.

$\begin{array}{lrcll}(1)&-14x + 11y & = & 23 &\\(2)& 7x - 3y & = & 37 &\\(3)&14x - 6y &=&74&\text{Multiplied (2) by 2}\\(4)&5y & = & 97 & \text{Added (1) and (3)}\\(5)&y & = &\mathbf{\dfrac{97}{5}} & \text{Divided (4) by 5}\\& 7x - 3\left(\dfrac{97}{5}\right) & = & 37 &\text{Substituted (5) into (2)}\\\end{array}$

$\begin{array}{lrcll}& 7x - \dfrac{291}{5} & = & 37 &\text{Simplified}\\\\& 7x & = & 37 + \dfrac{291}{5} &\text{Added the fraction to each side}\\\\& & = & \dfrac{185 + 291}{5} &\text{Common denominator}\\\\& & = & \dfrac{476}{5} &\text{Simplified}\\\\&x& = &\mathbf{\dfrac{68}{5}} &\text{Divided each side by 7}\\\\\end{array}$

The solution is x = 68/5, y = 97/5.

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Thus the option 3 is the correct option,

<h3>How to find factor of polynomial using X method?</h3>

X method is the method to find the factors of the polynomial equation.

The standard form of the quadratic equitation is given as,

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Given information-

The equation given in the problem is,

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Compare the above equation with the standard form. We get,

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To find out the factor of above equation using X method, follow the steps.

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$ac=1\times(-48)\\ac=-48$

Step 2) Place $b$ at the bottom as shown in the image below.

$b=13$

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Hence the factor of the given polynomial is,

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Answer:

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