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CaHeK987 [17]
3 years ago
13

What choice is a solution to the system of equations? y=2x-3 y-9=-x

Mathematics
2 answers:
Tema [17]3 years ago
8 0

Answer:

(4,5)\ or\ x=4,y=5

Step-by-step explanation:

We\ are\ given:\\y=2x-3\\y-9=-x\\Now,\ lets\ separate\ all\ the\ constant\ terms\ to\ the\ RHS\ and\ the\ variable\\ terms\ to\ the\ LHS.\\Hence,\\y-2x=-3\\y+x=9\\By\ subtracting\ the\ two\ equations:\\(y-2x)-(y+x)=(-3)-(9)\\Hence\ lets\ simplify\ this\ main\ equation: \\y-2x-(y+x)=-3-9\\y-2x-y-x=-12\\-3x=-12\\x=\frac{-12}{-3}=4\\\\Now,\ lets\ consider\ the\ second\ equation\ in\ the\ solution:\\y-9=-x\\Substituting\ x=4,\\y-9=-(4)\\y-9=-4\\y=-4+9\\y=5\\

Now,\\We\ get\ the\ solution\ to\ this\ system\ of\ equations:\\x=4,y=5\\By\ putting\ this\ as\ a\ co-ordinate\ pair (x,y):\\(4,5)

HACTEHA [7]3 years ago
7 0

Answer:

The solution of the system of equations will be:

y=5,\:x=4

Step-by-step explanation:

Given the system of equation

\begin{bmatrix}y=2x-3\\ y-9=-x\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}y-2x=-3\\ y+x=9\end{bmatrix}

so

y+x=9

-

\underline{y-2x=-3}

3x=12

so the system of equations becomes

\begin{bmatrix}y-2x=-3\\ 3x=12\end{bmatrix}

solve 3x=12 for x

3x=12

Divide both sides by 3

\frac{3x}{3}=\frac{12}{3}

x=4

\mathrm{For\:}y-2x=-3\mathrm{\:plug\:in\:}x=4

y-2\cdot \:4=-3

y-8=-3

Add 8 to both sides

y-8+8=-3+8

y=5

Thus, the solution of the system of equations will be:

y=5,\:x=4

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I really need help with these math problems!
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B) 2.25 × 10^8

C) 2.025 x 10^14 kilometers / 2.25 x 10^8 years

D) 2.025 x 2.25 = .9

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F) .9 x 10^6

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Answer:

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y=350+4x

Answer: x=62 y=598

Step-by-step explanation:

Place the two equations equal to each other.

350+4x=474+2x

Then Subtract 350 from 474 which gets you to 124.

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Then subtract 2x from both sides.

Which make the equation look like this: 2x=124

Now divide 124 by 2.

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3 years ago
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