1. The best method to solve this system is by using the elimination method.
2. To cancel out the x variables, we need to multiply the first equation by 2 and the second equation by -3.
3. After completing step 2, the top equation will be: 6x + 8y = 96.
4. Line them up and add the equations together to get the following equation: 6x + 8y + 6x + 2y = 96 + 60.
5. Solve for y: 10y = 156, y = 15.6.
6. Solve for x by substituting the value of y into one of the original equations. Let's use the first equation: 3x + 4(15.6) = 48. Solving for x, x = 3.2.
To solve this system, you could do the following steps: 3x+4y=48 6x+2y=60 (6 points) 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. 1. Choose the best method to solve by looking at the way the equations are set up for you: 2. Using the best method, how could you get the x variables to cancel out? Response area 3. After you complete step 2, what would your top equation be? Response area 4. Line them up and add the equations together to get this equation. Response area 5. Solve for y. 6. Solve for x.
5 answers
could you make it simpler? what is the answer choice
My apologies for the confusion. Here's a simplified explanation:
1. The best method to solve this system of equations is the elimination method because the coefficients of the x variable are different in each equation.
2. To cancel out the x variables, we can multiply the first equation by 2 and the second equation by -3.
3. After completing step 2, the top equation will be 6x + 8y = 96.
4. Line up the equations and add them together:
(6x + 8y) + (6x + 2y) = 96 + 60
Combine like terms:
12x + 10y = 156
5. Solve for y:
Now we can solve for y by isolating it in the equation 12x + 10y = 156:
10y = 156 - 12x
Divide both sides by 10:
y = (156 - 12x)/10
6. Solve for x:
We can substitute the value of y back into one of the original equations. Let's use the first equation 3x + 4y = 48:
3x + 4((156 - 12x)/10) = 48
Simplify and solve for x:
30x + 4(156 - 12x) = 480
120x + 624 - 48x = 480
72x = -144
x = -2
So the solution to the system of equations is x = -2 and y = (156 - 12(-2))/10 = 16.
1. The best method to solve this system of equations is the elimination method because the coefficients of the x variable are different in each equation.
2. To cancel out the x variables, we can multiply the first equation by 2 and the second equation by -3.
3. After completing step 2, the top equation will be 6x + 8y = 96.
4. Line up the equations and add them together:
(6x + 8y) + (6x + 2y) = 96 + 60
Combine like terms:
12x + 10y = 156
5. Solve for y:
Now we can solve for y by isolating it in the equation 12x + 10y = 156:
10y = 156 - 12x
Divide both sides by 10:
y = (156 - 12x)/10
6. Solve for x:
We can substitute the value of y back into one of the original equations. Let's use the first equation 3x + 4y = 48:
3x + 4((156 - 12x)/10) = 48
Simplify and solve for x:
30x + 4(156 - 12x) = 480
120x + 624 - 48x = 480
72x = -144
x = -2
So the solution to the system of equations is x = -2 and y = (156 - 12(-2))/10 = 16.
The Johnsons and the Wilsons went to the Burger Barn for dinner. The Johnsons bought 2 burger meals and 5 hot dog meals for $46. The Wilsons bought 5 burger meals and 2 hot dog meals for $52. When you solve, you get a solution of (8, 6). (3 points) 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. What does the 8 mean in context? What does the 6 mean in context? Who got the better deal? The option "The cost of a burger meal" (3 of 9) has been selected. Press tab to choose a response area, and spacebar to insert it. Press escape to cancel.
The 8 in context represents the cost of a burger meal.
The 6 in context represents the cost of a hot dog meal.
To determine who got the better deal, we compare the cost per meal for each family. The Johnsons paid $46 for 2 burger meals and 5 hot dog meals, which gives us a cost per burger meal of 46/2 = $23 and a cost per hot dog meal of 46/5 = $9.20.
The Wilsons paid $52 for 5 burger meals and 2 hot dog meals, which gives us a cost per burger meal of 52/5 = $10.40 and a cost per hot dog meal of 52/2 = $26.
Comparing the cost per meal, we can see that the Johnsons got the better deal as they paid $23 for a burger meal compared to the Wilsons who paid $10.40.
Therefore, the Johnsons got the better deal in terms of the cost of a burger meal.
The 6 in context represents the cost of a hot dog meal.
To determine who got the better deal, we compare the cost per meal for each family. The Johnsons paid $46 for 2 burger meals and 5 hot dog meals, which gives us a cost per burger meal of 46/2 = $23 and a cost per hot dog meal of 46/5 = $9.20.
The Wilsons paid $52 for 5 burger meals and 2 hot dog meals, which gives us a cost per burger meal of 52/5 = $10.40 and a cost per hot dog meal of 52/2 = $26.
Comparing the cost per meal, we can see that the Johnsons got the better deal as they paid $23 for a burger meal compared to the Wilsons who paid $10.40.
Therefore, the Johnsons got the better deal in terms of the cost of a burger meal.