Multiple Choice
Solve the system by elimination.
[x + 57 - 42 = -10
{2x - y + 5z = -9
2x - 10y - 5z = 0
(1 point)
• (5, -1, 0)
• (-5, 1, 0)
• (-5, -1, 0)
0 (-5, -1,-2)
To solve the system by elimination, we can add the second and third equations to eliminate the "z" variable:
2x - y + 5z + 2x - 10y - 5z = -9 + 0
4x - 11y = -9
Now, we can substitute the value of x from the first equation into this new equation:
x + 57 - 42 = -10
x + 15 = -10
x = -10 - 15
x = -25
Substitute the value of x into the equation 4x - 11y = -9:
4(-25) - 11y = -9
-100 - 11y = -9
-11y = -9 + 100
-11y = 91
y = 91/(-11)
y = -91/11
y = -8.27
Now, substitute the values of x and y into the second equation:
2x - 10y - 5z = 0
2(-25) - 10(-91/11) - 5z = 0
-50 + 910/11 - 5z = 0
(910 - 550)/11 - 5z = 0
360/11 - 5z = 0
360 - 55z = 0
-55z = -360
z = -360/(-55)
z = 72/11
z ≈ 6.55
Therefore, the solution to the system of equations is (-25, -8.27, 6.55).
ur so wrong
Multiple Choice
Solve the system by elimination.
pick one from here with no explanations the answer that is right
x + 57 - 42 = -10
2x - y + 5z = -9
2x - 10y - 5z = 0
• (5, -1, 0)
• (-5, 1, 0)
• (-5, -1, 0)
• (-5, -1,-2)
The correct answer is: (-5, -1, 0)
Solve the system by substitution.
pick the correct answer with no explanations please
2 - y + Z = -4
z=5
-2x + 37 - z = -10
• (-8, 7, 5)
• (-8, -7,5)
• (8, -7, 5)
• (-8, -7, -5)
The correct answer is: (-8, 7, 5)
A food store makes a 11-pound mixture of peanuts, almonds, and raisins. The cost of peanuts is $1.50 per pound, almonds cost $3.00 per pound, and raisins cost $1.50 per pound. The mixture calls for twice as many peanuts as almonds. The total cost of the mixture is $21.00. How much of each ingredient did the store use?
pick one answer with no explanations, please!
• 3 lbs peanuts, 6 lbs almonds, 2 lbs raisins
• 8 lbs peanuts, 1 lb almonds, 2 Ibs raisins
• 6 Ibs peanuts, 3 lbs almonds, 2 lbs raisins
• 8 Ibs peanuts, 2 lbs almonds, 1 lbs raisins