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Romashka [77]
3 years ago
7

Solve the system of linear equations by substitution. 2x=y−10 x+7=y

Mathematics
2 answers:
cricket20 [7]3 years ago
8 0

Step-by-step explanation:

2x = y - 10 and x + 7 = y.

By Substitution,

2x = (x + 7) - 10.

=> 2x = x - 3, x = -3.

Therefore y = (-3) + 7 = 4.

The pair of solutions are x = -3, y = 4.

Vedmedyk [2.9K]3 years ago
5 0

Answer:

(-3, 4)

Step-by-step explanation:

2x = y - 10 (y = x +7) so

2x = x +7 - 10

2x = x -3

x = -3

-3 + 7 = y

4 = y

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Explain the difference between the union and intersection of two sets.
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Step-by-step explanation:

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3 years ago
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antid
Kisachek [45]

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The antiderivative of the function is the same as the integral. To find the integral or antiderivative, reverse the process of differentiation method. Currently the function has degree 1. Through integration we increase the degree of each term by 1 and divide by the degree.

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SOLVING EACH SYSTEM BY ELIMINATION <br><br><br> x+3y=5 x=-6y+14<br><br><br> HELP
nata0808 [166]

Answer:

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

x=-4,\:y=3

Step-by-step explanation:

Given the system of the equations

x+3y=5;\:x=-6y+14

solving by elimination method

\begin{bmatrix}x+3y=5\\ x=-6y+14\end{bmatrix}

\mathrm{Arrange\:equation\:variables\:for\:elimination}

\begin{bmatrix}x+3y=5\\ x+6y=14\end{bmatrix}

x+6y=14

-

\underline{x+3y=5}

3y=9

\begin{bmatrix}x+3y=5\\ 3y=9\end{bmatrix}

solve 3y=9 for y:

3y=9

\frac{3y}{3}=\frac{9}{3}

y=3

\mathrm{For\:}x+3y=5\mathrm{\:plug\:in\:}y=3

Solve x+3\cdot \:3=5 for x:

x+3\cdot \:3=5

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x=-4

Therefore,

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

x=-4,\:y=3

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