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3 years ago

X+2y=-14. X-y=13. Solve the equation by elimination method

Mathematics

1 answer:

Akimi4 [234]3 years ago

5 0

Eliminate 2nd equation from 1st equation here:

3y = -27

y = -27/3

y = -9

Now, substitute the value in 2nd equation, x - (-9) = 13

x + 9 = 13

x = 13 - 9 = 4

In short, Your Answer would be: (4, -9)

Hope this helps!

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Simplify to create an equivalent expression <br> -4(-11 + 4n) -3(-2n + 9)

Marizza181 [45]

Answer:

-71 + 22n is the equivalent expression.

This is the simplified expression.

Step-by-step explanation:

4(-11 + 4n) -3(-2n + 9)

= -44 + 16n + 6n - 27

= -44 + 22n - 27

= -71 + 22n

7 0

3 years ago

Read 2 more answers

If the perimeter of a rectangle is 6x^2-2x+14 and the length is x^2-x+8 what is the measure of the width?

s2008m [1.1K]

Answer:

w = 2x^2-2x+15

Step-by-step explanation:

Since the formula to find the perimeter is P=2l+2w, use this to set up your equation:

6x^2-2x+14 = 2(x^2-x+8) + 2w

Then, distribute the 2 to everything inside the parentheses.

6x^2-2x+14 = 2x^2-2x+16 + 2w

Subtract 2x^2-2x+16 from both sides, leaving you:

4x^2-4x+30 = 2w

Divide 2 from both sides.

2x^2-2x+15

The answer is 2x^2-2x+15

7 0

2 years ago

Which absolute value function has a graph that is wider than the parent function when graphed represents the parent function f(x

Advocard [28]

The answer to this is B

7 0

4 years ago

Read 2 more answers

PLEASE HELP ME! I really need help y'all...

ikadub [295]

just a quick clarification, tis usually -4.9 and that's a rounded number to reflect earth's gravity on an object in motion, but -5 is close enough :)

$\bf ~~~~~~\textit{initial velocity in meters} \\\\ h(t) = -4.9t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}\\ \qquad \textit{of the object}\\ h=\textit{object's height}\\ \qquad \textit{at "t" seconds} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf h(x)=-5(\stackrel{\mathbb{F~O~I~L}}{x^2-8x+16})+180\implies h(x)=-5x^2+40x-80+180 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill h(x)=-5x^2+\stackrel{\stackrel{v_o}{\downarrow }}{40} x+\stackrel{\stackrel{h_o}{\downarrow }}{\boxed{100}}~\hfill$

8 0

4 years ago

Read 2 more answers

-3x - 3y = 3, -5x + y =13<br> System of Equations

Nataliya [291]

Answer:

( $\frac{-7}{3}$ , $\frac{4}{3}$ )

Step-by-step explanation:

Hi there!

We are given the following system of equations:

-3x-3y=3

-5x+y=13

and we need to find the solution (the point at which the 2 lines intersect)

let's solve this by substitution, where we will set one variable equal to an expression containing the other variable, and then substitute that expression into the other equation to solve for the variable that the expression from earlier contains, and then use the value of the solved variable to find the value of the first variable

in the second equation, add 5x to both sides to isolate y by itself

y=5x+13

now substitute 5x+13 as y in -3x-3y=3

-3x-3(5x+13)=3

do the distributive property

-3x-15x-39=3

combine like terms

-18x-39=3

add 39 to both sides

-18x=42

divide both sides by -18

x= $\frac{-7}{3}$

now we need to find y

remember: y=5x+13

substitute $\frac{-7}{3}$ as x in y=5x+13

y=5( $\frac{-7}{3}$ )+13

multiply

y= $\frac{-35}{3}$ +13

add

y= $\frac{4}{3}$

So the answer is x= $\frac{-7}{3}$ , y= $\frac{4}{3}$ . As a point, it's ( $\frac{-7}{3}$ , $\frac{4}{3}$ )

Hope this helps! :)

4 0

3 years ago