Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
Step-by-step explanation: The given system of linear equations is :
We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.
The determinant of the co-efficient matrix is given by
Now, from equations (ii) and (iii), we have
Substituting the value of y and z from equations (iv) and (v) in equation (i), we get
From equations (iv) and (v), we get
Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
Answer:
The nonlinear system of equations has 4 solutions ⇒ B
Step-by-step explanation:
The number of solutions of a system of equations equal to the number of points of intersection of the graphs of the equations of the system
Let us use this note to solve the question
From the given figure
∵ The nonlinear system of equations represented by two curves and a circle
∵ Each curve intersects the circle into two points
∴ The number of the points of intersection is 4
→ By using the note above
∵ The number of intersection points equal to the number of solutions
∴ The number of solutions is 4
∴ The nonlinear system of equations has 4 solutions
Cherry pie is $ C.
Pumpkin pie is $ P.
C + 9P =60 -------> C=60 - 9P
11C+4P = 90
11(60 - 9P) +4P=90
660 - 99P + 4P = 90
-95P = -570
P =570/95 = 6
P=6
C=60-9*P=60 - 9*6= 60-54=6
C=6
Answer: 1 cherry pie -$6, 1 pumpkin pie - $6.
Check:
11C+4P = 90 , 11*6 +4*6 =90, 66+24=90, 90=90 True
Answer:
So, the required answer is C. [Look at the screenshot]
Answer:
Let x be the price of an adult ticket and y be the price of a youth ticket.
One family spends $134 on 2 adult tickets and 3 youth tickets so we can write: 2x+3y=134
Another family spends $146 on 3 adult tickets and 2 youth tickets so we can write: 3x+2y=146
We need to find y so we eliminate x. Multiply (1) by 3 and (2) by 2 to obtain (3) and (4): 6x+9y=402
6x+4y=292
Subtract (3) and (4) and solve for y: 5y=110
y=22→$22
Step-by-step explanation:
