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Solve. $\newline$ $y = 1$ $\newline$ $–x + y = –5$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

y = 1

\newline

–x + y = –5

\newline

(_____, _____)

Substitute $y = 1$ : Substitute $y = 1$ into the equation $–x + y = –5$ and then simplify. $\newline$ Substitute $1$ for $y$ in $–x + y = –5$ . $\newline$ $–x + 1 = –5$
Isolate variable term: Isolate the variable term to solve for $x$ . $\,-x + 1 - 1 = -5 - 1$ $\,-x = -6$
Solve for x: Solve for x by dividing both sides by $-1$ . $\newline$ $-\frac{x}{-1} = -\frac{6}{-1}$ $\newline$ $x = 6$
Find ordered pair: We found: $\newline$ $x = 6$ $\newline$ $y = 1$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 6$ and $y = 1$ into $(x, y)$ . $\newline$ The solution is $(6, 1)$ .

More problems from Solve a system of equations using any method

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Solve using elimination.

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\newline

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(1,1)

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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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Question

Which describes the system of equations below?

\newline

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

\newline

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

\newline

\newline

\text{[A]consistent and independent}

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\text{[B]consistent and dependent}

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\text{[C]inconsistent}

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Question

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\newline

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Question

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

\newline

Last Wednesday, two friends met up after school to read the book they were both assigned in Literature class. Bryan can read

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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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Question

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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small serving of ice cream and

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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

\newline

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Question

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

\newline

There are two mystery numbers. The sum of

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times the first number and

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times the second number is

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2

times the first number and

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times the second number is

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\newline

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

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Question

A teacher purchased

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(x)

30

(y)

the art teacher ordered.

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Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant