The point (-4, 6) is a solution to which system?
Responses
{−5x+y=−33x−8y=24
{−4x+y=6−5x−y=21
{x+y=2−x+2y=16
{−5x+y=−2−3x+6y=−12
{−5x+y=−33x−8y=24
Match the system of equations to the number of solutions it has.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
y=5x+7
3y−15x=18
x−2y=6
3x−6y=18
y = 3x + 6
y=−13x−4
y=23x−1
y=23x−2
y=5x+7: One solution
3y−15x=18: One solution
x−2y=6: One solution
3x−6y=18: One solution
y = 3x + 6: One solution
y=−13x−4: One solution
y=23x−1: One solution
y=23x−2: One solution
Match the system of equations to the number of solutions it has.
y=5x+7 and 3y−15x=18
x−2y=6 and 3x−6y=18
y = 3x + 6 and y=−13x−4
y=23x−1 and y=23x−2
y=5x+7 and 3y−15x=18: One solution for each
x−2y=6 and 3x−6y=18: One solution for each
y = 3x + 6 and y=−13x−4: One solution for each
y=23x−1 and y=23x−2: One solution for each
Put the steps in order that are used to solve the following systems of equations by substitution.
{−7x −2y = −13x − 2y = 11
1. Isolate one variable in one equation (e.g. solve one equation for x or y).
2. Substitute the expression found in step 1 into the other equation, replacing that variable.
3. Solve the resulting equation for the remaining variable (it should only have one variable).
4. Substitute the value found in step 3 back into either equation to find the value of the other variable.
5. Check the solution by plugging in the values found for both variables into both original equations. If both equations are true, then the solution is correct.
can u tell me the steps with numbers
Sure!
1. Isolate one variable in one equation. Let's isolate y in the first equation by adding 7x to both sides:
-7x - 2y = -13
-2y = -6x - 13
y = 3x + 6.
2. Substitute the expression found in step 1 into the other equation, replacing that variable:
-13x - 2(3x + 6) = 11.
3. Solve the resulting equation for the remaining variable (it should only have one variable):
-13x - 6x - 12 = 11
-19x = 23
x = -23/19.
4. Substitute the value found in step 3 back into either equation to find the value of the other variable. Let's use the first equation:
-7(-23/19) - 2y = -13
161/19 - 2y = -13
2y = 161/19 + 13
y = 434/38 = 217/19.
5. Check the solution by plugging in the values found for both variables into both original equations. If both equations are true, then the solution is correct.
Checking the first equation:
-7(-23/19) - 2(217/19) = -13
-161/19 - 434/19 = -13
-595/19 = -13
The equation is true.
Checking the second equation:
-13(-23/19) - 2(217/19) = 11
299/19 + 434/19 = 11
733/19 = 11
The equation is also true.
Therefore, the solution is x = -23/19 and y = 217/19.
The Woodson and Baker families went to the Burger Shack for dinner. The Woodsons bought 3 burger meals and 4 hot dog meals for $48. The Bakers bought 6 burger meals and 2 hot dog meals for $60. How much does each meal cost? Show your work.
If x represents the cost of burger meals, then y represents Response area.
The system of linear equations would look like Response area.
How much does a burger meal cost? Response area
How much does a hot dog meal cost?