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2 years ago

6x-3y= -6 for y can someone please help me

Mathematics

1 answer:

kifflom [539]2 years ago

5 0

Answer:

y = 2 + 2x

Step-by-step explanation:

6x-3y= -6

-3y = -6 -6x

3y = 6 + 6x

y = 2 + 2x

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Solve the following using Substitution method 2x – 5y = -13 3x + 4y = 15

Digiron [165]

$\huge \boxed{\mathfrak{Question} \downarrow}$

Solve the following using Substitution method

2x – 5y = -13

3x + 4y = 15

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\left. \begin{array} { l } { 2 x - 5 y = - 13 } \\ { 3 x + 4 y = 15 } \end{array} \right.$

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

$2x-5y=-13, \: 3x+4y=15$

Choose one of the equations and solve it for x by isolating x on the left-hand side of the equal sign. I'm choosing the 1st equation for now.

$2x-5y=-13$

Add 5y to both sides of the equation.

$2x=5y-13$

Divide both sides by 2.

$x=\frac{1}{2}\left(5y-13\right) \\$

Multiply $\frac{1}{2}\\$ times 5y - 13.

$x=\frac{5}{2}y-\frac{13}{2} \\$

Substitute $\frac{5y-13}{2}\\$ for x in the other equation, 3x + 4y = 15.

$3\left(\frac{5}{2}y-\frac{13}{2}\right)+4y=15 \\$

Multiply 3 times $\frac{5y-13}{2}\\$ .

$\frac{15}{2}y-\frac{39}{2}+4y=15 \\$

Add $\frac{15y}{2} \\$ to 4y.

$\frac{23}{2}y-\frac{39}{2}=15 \\$

Add $\frac{39}{2}\\$ to both sides of the equation.

$\frac{23}{2}y=\frac{69}{2} \\$

Divide both sides of the equation by 23/2, which is the same as multiplying both sides by the reciprocal of the fraction.

$\large \underline{ \underline{ \sf \: y=3 }}$

Substitute 3 for y in $x=\frac{5}{2}y-\frac{13}{2}\\$ . Because the resulting equation contains only one variable, you can solve for x directly.

$x=\frac{5}{2}\times 3-\frac{13}{2} \\$

Multiply 5/2 times 3.

$x=\frac{15-13}{2} \\$

Add $-\frac{13}{2}\\$ to $\frac{15}{2}\\$ by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.

$\large\underline{ \underline{ \sf \: x=1 }}$

The system is now solved. The value of x & y will be 1 & 3 respectively.

$\huge\boxed{ \boxed{\bf \: x=1, \: y=3 }}$

8 0

2 years ago

Solve the system of equations. 14x + y = −4 y = 3x^2 − 11x − 4

sveta [45]

You can use substitution here. First, get y alone:

14x + y = -4
subtract 14x from each side
y = -4 - 14x

Then, plug y into the second equation

-4 - 14x = 3x² - 11x - 4
then solve from there

Hope this helps :)

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3 years ago

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Savatey [412]

Answer: First one is 140, second one is 70

Step-by-step explanation: They’re corresponding angles

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Joe's final exam has true/false questions, worth 2 points each, and multiple choice questions, worth 5 points each. Let x be the

mixer [17]

This is the inequality

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3 years ago

12 - 16 ÷(-4) A. -1 B. 1 C. 8 D. 16

Naya [18.7K]

Answer:

D. 16

Step-by-step explanation:

Do the division first

-16 ÷ (-4) = 4 then do the sum

12 + 4 = 16

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3 years ago