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Solve. $\newline$ $x + 6y = -10$ $\newline$ $y = -2$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

x + 6y = -10

\newline

y = -2

\newline

(_____, _____)

Substitute $y = -2$ : Substitute $y = -2$ into the equation $x + 6y = -10$ and then simplify. $\newline$ Substitute $-2$ for $y$ in $x + 6y = -10$ . $\newline$ $x + 6(-2) = -10$ $\newline$ $x - 12 = -10$
Isolate variable term: Isolate the variable term to solve for $x$ . $x - 12 = -10$ $x - 12 + 12 = -10 + 12$ $x = 2$
Find ordered pair solution: We found: $\newline$ $x = 2$ $\newline$ $y = -2$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 2$ and $y = -2$ into $(x, y)$ . $\newline$ The solution is $(2, -2)$ .

More problems from Solve a system of equations using any method

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Solve using elimination.

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How many solutions does the system of equations below have?

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7

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\text{[A]no solution}

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Which describes the system of equations below?

\newline

y = \frac{1}{7}x - 10

\newline

y = \frac{1}{7}x - 10

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\newline

\text{[A]consistent and independent}

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\text{[B]consistent and dependent}

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Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

\newline

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pages. Jayla, who has a reading speed of

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pages per minute, had read

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pages. Eventually they had read the same number of pages. How long did that take? How many pages had each of them read?

\newline

\_\_\_\_

minutes, Bryan and Jayla had each read

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Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.

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At the Castroville Ice Cream Parlor, one group of friends ordered

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large servings of ice cream for

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. Another group of friends ordered

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small serving of ice cream and

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large servings of ice cream for

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. How much does the ice cream cost?

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The ice cream costs `\$`_____ for a small serving and `\$`_____ for a large serving.

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Question

\newline

y = -1

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Question

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

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There are two mystery numbers. The sum of

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times the second number is

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times the first number and

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times the second number is

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The first number is ______ , and the second number is ______.

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Question

A teacher purchased

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colored pencils for an upcoming project. The pencils she ordered come in packs of

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packs in all. Write a system of equations to find the number of

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(x)

30

(y)

the art teacher ordered.

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