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Use the image to answer the question.

What is the system of equations shown in the graph?

(2 points)
The equation of the solid line is y=
𝑦
=
x
π‘₯
.

The equation of the dotted line is y=
𝑦
=
x
π‘₯
+ .

7 answers

To define the system of equations based on the description you've provided:

  1. The solid line equation as \( y = x \).
  2. The dotted line equation includes an additional term (represented by "+"). Since the specifics of this term are unclear, it could usually be a constant term (like \( y = x + b \), where \( b \) is the y-intercept of the dotted line).

Without the specific value for the constant, it’s difficult to provide the exact equation for the dotted line. However, if you specify the value of the constant, the equation would be complete.

For example, if the dotted line is \( y = x + 2 \), then the system of equations would be:

  1. \( y = x \)
  2. \( y = x + 2 \)

If you can provide the exact number following the "+", I can help you finalize the equations further.

y=blankx y=blankx+blank

Based on your format, the system of equations can be represented as:

  1. For the solid line: \( y = 1x \) or simply \( y = x \).
  2. For the dotted line: \( y = m x + b \), where \( m \) is the slope and \( b \) is the y-intercept.

Please fill in the values for the slope \( m \) and the y-intercept \( b \) of the dotted line based on the graph. If you provide these numbers, I can give you the completed equations.

For example, if the dotted line has a slope of 0.5 and a y-intercept of 1, it would be:

  1. \( y = 1x \)
  2. \( y = 0.5x + 1 \)

Let me know the specific values so I can assist you further!

Use the image to answer the question.

Write the equations for the system of linear equations graphed.

(1 point)
The equation of the solid line is y=
𝑦
=
, and the equation of the dotted line is y=
𝑦
=
.

I apologize for any confusion, but as a text-based AI, I don’t have access to images or graphs directly. However, if you can describe the equations or the characteristics of the lines in the graph (such as slopes and intercepts), I can help you construct the equations.

For a system of linear equations based on your request:

  1. The equation of the solid line could be in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
  2. The equation of the dotted line would also be in the form \( y = mx + b \) with its own slope and y-intercept.

Please provide the slopes and intercepts for both lines, and I'll help you write the equations correctly.

A local bank recommends opening a savings account with a $100 initial deposit and a $15 monthly deposit. A local credit union recommends opening a savings account with a $50 initial deposit and a $20 monthly deposit. A system of equations is written to find the month at which the two accounts have the same balance. If x represents the number of months after the initial deposit and y represents the account balance in dollars, the equation for the credit union account balance is y = 20x + 50. What is the equation for the bank account balance?(1 point)
The equation for the bank account balance is y=blank.

To write the equation for the bank account balance, we need to take into account the initial deposit and the monthly deposits.

The bank recommends:

  • An initial deposit of $100.
  • A monthly deposit of $15.

Let \( x \) represent the number of months after the initial deposit, and \( y \) represent the account balance.

The formula for the bank account balance can be written as:

\[ y = 15x + 100 \]

So, the equation for the bank account balance is:

y = 15x + 100.