Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

How many solutions does the system of equations below have? $\newline$ $y = -7x - 2$ $\newline$ $y = -7x - \frac{2}{3}$ $\newline$ Choices: $\newline$ (A)no solution $\newline$ (B)one solution $\newline$ (C)infinitely many solutions

View step-by-step help

View step-by-step help

Find the number of solutions to a system of equations

Full solution

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

\newline

y = -7x - 2

\newline

y = -7x - \frac{2}{3}

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Slope Analysis: System of equations: $\newline$ $y = -7x - 2$ $\newline$ $y = -7x - \frac{2}{3}$ $\newline$ 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: $\newline$ $y = -7x - 2$ $\newline$ $y = -7x - \frac{2}{3}$ $\newline$ Are the y-intercepts same or different? $\newline$ y-intercept of first equation: $-2$ $\newline$ y-intercept of second equation: $-\frac{2}{3}$ $\newline$ y-intercepts of the equations are different.
Number of Solutions: System of equations: $\newline$ $y = -7x - 2$ $\newline$ $y = -7x - \frac{2}{3}$ $\newline$ Determine the number of solutions to the system of equations. $\newline$ The system of equations has the same slope but different y-intercepts. $\newline$ The system of equations has no solution because they are parallel lines that never intersect.

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

Question

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

\newline

Express your answer in the form

(a+b i)

Posted 10 months ago

Question

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

\newline

Express your answer in the form

(a+b i)

Posted 10 months ago

Question

In a random sample of

200

152

have read at least one book in the past

12

months. Based on this information, approximately how many of the

255

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

12

\newline

1

\newline

48

\newline

61

\newline

\mathbf{1 0 3}

\newline

\mathbf{1 9 4}

Posted 10 months ago

Question

Luke and Owen have

\$ 100

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

r

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

\$ 10

only, but Owen invested his entire

\$ 100

. Fortunately, the friend did indeed return a sum

r

times as great to each.

\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

\$ 90

. Again, they got a sum

r

times as great as what they invested. In the end, Owen had

\$ 337.50

more than Luke.

\newline

Write an equation in terms of

r

that models the situation.

Posted 10 months ago

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.

\newline

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

Posted 10 months ago

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

\newline

Find Jessie's mistake.

\newline

1

\newline

1

\newline

2

\newline

(C) Jessie did not make a mistake.

Posted 9 months ago

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.

Posted 9 months ago

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

Posted 9 months ago

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

Related topics

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