Answer:
x = 1 and y = -2
Step-by-step explanation:
Given that,
2x-3y = 8 ..(1)
4x+3y = -2 ..(2)
Add equation (1) and (2),
2x-3y+4x+3y = 8+(-2)
6x = 6
x = 1
Put the value of x in equation (1).
2-3y = 8
2-8 = 3y
-6 = 3y
y = -2
Hence, the value of x is 1 and that of y is -2.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Balance prior to statement date = - 3.46
Minimum bank balance to avoid penalty = $10
The amount of deposit, d made in time in other to avoid penalty fee?
Minimum amount that most have been deposited, d :
Balance prior to statement + d ≥ minimum bank balance to avoid penalty
-3.46 + d ≥ 10
d ≥ 10 + 3.46
d ≥ 13.46
Hence, the minimum amount that must have been deposited to avoid penalty is 13.46
<u>Question:</u>
Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0
<u>Answer:</u>
The number of real solutions for the equation 
is zero
<u>Solution:</u>
For a Quadratic Equation of form : 
---- eqn 1
The solution is 
Now , the given Quadratic Equation is ---- eqn 2
On comparing Equation (1) and Equation(2), we get
a = 1 , b = 5 and c = 7
In , 
is called the discriminant of the quadratic equation
Its value determines the nature of roots
Now, here are the rules with discriminants:
1) D > 0; there are 2 real solutions in the equation
2) D = 0; there is 1 real solution in the equation
3) D < 0; there are no real solutions in the equation
Now let solve for given equation
Since -3 is less than 0, this means that there are 0 real solutions in this equation.
Answer:
x = 5
Step-by-step explanation:
Since both triangles are similar hence;
m<CAB = m<CDE
Given theta
m<CAB = 50degrees
m<CDE = 10x
Substitute the given angles
50 = 10x
Swap
10x = 50
Divide both sides by 10
10x/10 = 50/10
x = 5
Hence the value of x is 5
Answer:
They will buy 4 hotdogs and 3 drinks
Step-by-step explanation:
