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3 years ago

Solve the system of linear equations by substitution. 11x−7y=−14 x−2y=−4

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

3 0

Answer:

x = 1/6 , y = 5/6

Step-by-step explanation:

Solve the following system: using substitution:

{11 x - 7 y = -4

{-14 x - 2 y = -4

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for x:

{11 x - 7 y = -4

{-14 x - 2 y = -4

Hint: | Isolate terms with x to the left hand side.

Add 7 y to both sides:

{11 x = 7 y - 4

{-14 x - 2 y = -4

Hint: | Solve for x.

Divide both sides by 11:

{x = (7 y)/11 - 4/11

{-14 x - 2 y = -4

Hint: | Perform a substitution.

Substitute x = (7 y)/11 - 4/11 into the second equation:

{x = (7 y)/11 - 4/11

{-14 ((7 y)/11 - 4/11) - 2 y = -4

Hint: | Expand the left hand side of the equation -14 ((7 y)/11 - 4/11) - 2 y = -4.

-14 ((7 y)/11 - 4/11) - 2 y = (56/11 - (98 y)/11) - 2 y = 56/11 - (120 y)/11:

{x = (7 y)/11 - 4/11

{56/11 - (120 y)/11 = -4

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for y:

{x = (7 y)/11 - 4/11

{56/11 - (120 y)/11 = -4

Hint: | Isolate terms with y to the left hand side.

Subtract 56/11 from both sides:

{x = (7 y)/11 - 4/11

{-(120 y)/11 = -100/11

Hint: | Solve for y.

Multiply both sides by -11/120:

{x = (7 y)/11 - 4/11

{y = 5/6

Hint: | Perform a back substitution.

Substitute y = 5/6 into the first equation:

Answer: {x = 1/6 , y = 5/6

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stellarik [79]

Question:

The function f(x) is defined as follows:

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Answer:

The values are $f(-3)=-8$ and $f(2)=8$

Explanation:

The function is defined by two parts,

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To determine the value of $$f(-3)$ , we shall substitute the value $x=-3$ in the function $f(x)=3 x+1$ because $-3 \leq 0$

Hence, we have,

$f(x) \ \ =3 x+1\\f(-3)=3(-3)+1\\f(-3)=-9+1\\f(-3)=-8$

Now, to determine the value of $f(2)$ , we shall substitute the value $x=2$ in the function $f(x)=2x^2$ because $x \geq 2$

Hence, we have,

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Thus, the values are $f(-3)=-8$ and $f(2)=8$

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3 years ago

4+6d<52 How do u do this

muminat

Answer:

d < 8

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3 years ago

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Answer:

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Step-by-step explanation:

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