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I need help with question 12Solve the system by substitutiony = - 3x - 10 y = - 1

User Bparise
by
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1 Answer

7 votes

Answer:

x = 3 and y = -1

Step-by-step explanation:

The first equation of the system is:

y = - 3x - 10

The second equation of the system is:

y = -1

The second equation is solved for y, so we can take the second equation and replace the value of y in the first equation as follows:

y = - 3x - 10

-1 = - 3x - 10

Now, we can solve for x, so adding 10 to both sides of the equation, we get:

-1 + 10 = -3x - 10 + 10

9 = - 3x

Dividing by -3 into both sides:


\begin{gathered} (9)/(-3)=(-3x)/(-3) \\ -3=x \end{gathered}

Therefore, the solution of the system is x = -3 and y = -1

User Greg Samson
by
7.8k points

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