Question
page 11 of 12
Solving Systems of Equations by Graphing Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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Question
Use the image to answer the question.
A coordinate plane with four quadrants shows the x-axis ranging from negative 10 to 10 in increments of 1 and the y-axis ranging from negative 5 to 15 in increments of 1. A solid line and a dotted line intersect each other. The equation of the solid line is y equals x plus 5. The equation of the dotted line is 4 x plus 3 y equals 15. The intersection point of both lines is shown at 0 on the x-axis and positive 5 on the y-axis.
Review the graphs of a system of two linear equations in two variables: 4x+3y=15
and y=x+5
. Find the solution to both equations.
(1 point)
The intersection point is (
).
Solving Systems of Equations by Graphing Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items
Question
Use the image to answer the question.
A coordinate plane with four quadrants shows the x-axis ranging from negative 10 to 10 in increments of 1 and the y-axis ranging from negative 5 to 15 in increments of 1. A solid line and a dotted line intersect each other. The equation of the solid line is y equals x plus 5. The equation of the dotted line is 4 x plus 3 y equals 15. The intersection point of both lines is shown at 0 on the x-axis and positive 5 on the y-axis.
Review the graphs of a system of two linear equations in two variables: 4x+3y=15
and y=x+5
. Find the solution to both equations.
(1 point)
The intersection point is (
).
Answers
GPT-4o mini
To find the solution to the system of equations given by the lines \( y = x + 5 \) and \( 4x + 3y = 15 \), we can substitute the equation of the solid line into the dotted line's equation or find the intersection point visually as indicated.
From the information you provided, the intersection point of both lines is noted as being at (0, 5). This means that when \( x = 0 \), the corresponding \( y \) value is 5.
Thus, the solution to the system of equations, or the intersection point, is:
**The intersection point is (0, 5).**
From the information you provided, the intersection point of both lines is noted as being at (0, 5). This means that when \( x = 0 \), the corresponding \( y \) value is 5.
Thus, the solution to the system of equations, or the intersection point, is:
**The intersection point is (0, 5).**