Answer:
its 16
Step-by-step explanation:
Answer: There are 18 students in a van and 24 students in a bus.
Step-by-step explanation:
Let the number of students in the van be 'x' and the number of students in bus be 'y'.
Then, According to the question, we have the following system
Multiply 2 to both the sides of equation (2), we get
Subtract equation (1) from equation (3), we get
Substitute value of x in (1), we get
Hence, there are 18 students in a van and 24 students in a bus.
Answer:
Step-by-step explanation:
The triangle shown in the image attached is a right triangle.
Therefore, you can calculate the value of <em>x</em> as you can see below:
In this case, you have that:
<em> adjacent=x</em>
<em> hypotenuse=11</em>
Therefore, when you substitute values and solve for <em>x</em>, you obtain the following result:
Answer:
-no solution-
Step-by-step explanation:
Let's solve your system by elimination.
−6x+2y=−14;−9x+3y=−21
Multiply the first equation by 3,and multiply the second equation by -2.
3(−6x+2y=−14)
−2(−9x+3y=−21)
Becomes:
−18x+6y=−42
18x−6y=42
Add these equations to eliminate y:
0=0
Answer:
Infinitely many solutions.
Let's solve your system by substitution.
−6x+2y=−14;−9x+3y=−21
Step: Solve−6x+2y=−14for x:
−6x+2y=−14
−6x+2y+−2y=−14+−2y(Add -2y to both sides)
−6x=−2y−14
−6x
−6
=
−2y−14
−6
(Divide both sides by -6)
x=
1
3
y+
7
3
Step: Substitute
1
3
y+
7
3
forxin−9x+3y=−21:
−9x+3y=−21
−9(
1
3
y+
7
3
)+3y=−21
−21=−21(Simplify both sides of the equation)
−21+21=−21+21(Add 21 to both sides)
0=0
Answer:
Infinitely many solutions.
Answer:
Step-by-step explanation:
x(x+2) = 143
:::::
x² + 2x - 143 = 0
x = [-2 ±√(2²-4(1)(-143))]/[2(1)] = 11, -13
:::::
11 and 13
:::::
-13, -11