Pregunta
Solve the following system of equations graphically on the set of axes below.
Ask by Huang Chandler. in the United States
Dec 20,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The solution is
.
Solución
Solve the system of equations
.
Solve the system of equations by following steps:
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
- step1: Substitute the value of
- step2: Simplify:
- step3: Move the constant to the right side:
- step4: Subtract the numbers:
- step5: Divide both sides:
- step6: Divide the numbers:
- step7: Substitute the value of
- step8: Simplify:
- step9: Calculate:
- step10: Check the solution:
- step11: Rewrite:
The solution to the system of equations is.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


Beyond the Answer
To solve the system of equations graphically, you can start by rewriting both equations in slope-intercept form
, where
is the slope and
is the y-intercept.
-
The first equation is already in slope-intercept form:Here, the slope is
and the y-intercept is . You can plot this line by starting at the y-intercept (0, 3) and using the slope to find the next points. From (0, 3), you can move up 1 unit and 3 units to the right to get to (3, 4) and then down 1 unit and 3 units to the left to get to (-3, 2). -
Now, rearranging the second equation
to slope-intercept form involves isolating : Here, the slope isand the y-intercept is . Starting at the point (0, -3), you can move down 5 units and right 3 units to plot another point at (3, -6) and similarly up 5 units and left 3 units for more. -
Now you plot both lines on the same set of axes. The lines will intersect at some point; that intersection point represents the solution to the system of equations.
By plotting both lines accurately and finding their intersection, you can determine the solution graphically. Once you have done this, you can read off the coordinates of the intersection point, which gives you the values of
and
that satisfy both equations.
preguntas relacionadas

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium