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How many solutions does the system of equations below have? $\newline$ $y = 7x - 3$ $\newline$ $y = 7x - 3$ $\newline$ Choices: $\newline$ (A)no solution $\newline$ (B)one solution $\newline$ (C)infinitely many solutions

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Find the number of solutions to a system of equations

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Q. How many solutions does the system of equations below have?

\newline

y = 7x - 3

\newline

y = 7x - 3

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Slope Comparison: System of equations: $\newline$ $y = 7x − 3$ $\newline$ $y = 7x − 3$ $\newline$ Are the slopes same or different? $\newline$ Slope of first equation: $7$ $\newline$ Slope of second equation: $7$ $\newline$ Slopes of the equations are the same.
Y-Intercept Comparison: System of equations: $\newline$ $y = 7x − 3$ $\newline$ $y = 7x − 3$ $\newline$ Are the y-intercepts same or different? $\newline$ y-intercept of first equation: $-3$ $\newline$ y-intercept of second equation: $-3$ $\newline$ y-intercepts of the equations are the same.
Number of Solutions: System of equations: $\newline$ $y = 7x - 3$ $\newline$ $y = 7x - 3$ $\newline$ Determine the number of solutions to the system of equations. $\newline$ The system of equations has the same slope and the same $y$ -intercept. $\newline$ The system of equations has infinitely many solutions.

More problems from Find the number of solutions to a system of equations

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(-8)-(6+30 i)=

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Express your answer in the form

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\frac{(-21+65 i)+(-30+12 i)=}{\substack{-\times \\+\neq}}

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Express your answer in the form

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In a random sample of

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152

have read at least one book in the past

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million U.S. adults have not read a book in the past

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1

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48

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\mathbf{1 9 4}

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Question

Luke and Owen have

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each. Their friend offered to invest their money, promising to return a sum

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times as great as what they invested. Luke was suspicious, so he invested

\$ 10

only, but Owen invested his entire

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\newline

They decided to make another investment. This time, Owen invested all of the money returned to him, and Luke invested the money returned to him and the remaining

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\newline

Write an equation in terms of

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Question

Dominic sent a chain letter to his friends, asking them to forward the letter to more friends.

\newline

The relationship between the elapsed time

t

, in hours, since Dominic sent the letter, and the number of people,

P_{\text {hour }}(t)

, who receive the email is modeled by the following function:

\newline

P_{\text {hour }}(t)=18 \cdot(1.05)^{t}

\newline

Complete the following sentence about the daily rate of change in the number of people who receive the email.

\newline

Round your answer to two decimal places.

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Every day, the number of people who receive the email grows by a factor of

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Question

Jessie tried to solve an equation step by step.

\newline

1.5 b+9=11

\newline

1.5 b=3 \quad \text { Step } 1

\newline

b=2 \quad \text { Step } 2

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Find Jessie's mistake.

\newline

1

\newline

1

\newline

2

\newline

(C) Jessie did not make a mistake.

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Question

Leon tried to solve an equation step by step.

\newline

\begin{aligned} \frac{1}{2} w-12 & =18 \\ \frac{1}{2} w & =30 \quad \text { Step } 1 \\ w & =15 \quad \text { Step 2 } \end{aligned}

\newline

Find Leon's mistake.

\newline

1

\newline

\operatorname{Step} 1

\newline

2

\newline

(C) Leon did not make a mistake.

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Question

Olga tried to solve an equation step by step.

\newline

\begin{array}{rlrl} \frac{1}{4}\left(\frac{1}{3} k+9\right) & =6 & \\ \frac{1}{3} k+9 & =24 \quad \text { Step 1 } \\ \frac{1}{3} k & =15 \quad \text { Step 2 } \\ k & =5 \quad \text { Step 3 } \end{array}

\newline

Find Olga's mistake.

\newline

1

\newline

1

\newline

2

\newline

\operatorname{Step} 3

\newline

D Olga did not make a mistake.

Posted 9 months ago

Question

7

watermelons cost

\$ 8.96

\newline

Which equation would help determine the cost of

5

\newline

1

\newline

\frac{x}{5}=\frac{\$ 8.96}{7}

\newline

\frac{x}{5}=\frac{7}{\$ 8.96}

\newline

\frac{7}{5}=\frac{x}{\$ 8.96}

\newline

\frac{5}{x}=\frac{\$ 8.96}{7}

\newline

(E) None of the above

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Question

\lim _{x \rightarrow \frac{\pi}{4}} \frac{\cos (2 x)}{\cos (x)-\sin (x)}

\newline

1

\newline

\sqrt{2}

\newline

2

\newline

4

\newline

(D) The limit doesn't exist

Posted 9 months ago

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