68 is not a prime number. The prime factorization of 68 would be 2 x 2 x 17.
Answer:
4y = 6x + 40
Step-by-step explanation:
The general equation of a straight line is y = mx + b
m is the slope and b is the y-intercept
let us write both equations in this form;
we have this as;
6y = -4x + 1
y = -4x/6 + 1/6
and;
2x + 3y = 18
3y = -2x + 18
y = -2x/3 + 6
So firstly we want to find an equation that is perpendicular to the first
When two lines are perpendicular, their slopes has a product of -1
The slope of the first line is -4/6
let the slope of the line we want be m
As per they are perpendicular;
-4/6 * m = -1
-4m/6 = -1
-4m = -6
m = 6/4
So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6
we can choose 10
and we have the equation as:
y = 6x/4 + 10
multiply through by 4
4y = 6x + 40
Answer : 15
to find the scale you divide. 45/3 = 15.
this gives you the scale 15
i don’t know how else to explain it but i hope this helps
Answer:
<h3>
<u>Given Question</u></h3>
If
Given pair of equations are
and
On dividing by 2, we get
On multiply equation (1) by 3 and (2) by 4, we get
and
On Subtracting equation (3) from (4), we get
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
<h3>
<u>Concept Used :- </u></h3>
There are 4 methods to solve this type of pair of linear equations.
1. Method of Substitution
2. Method of Eliminations
3. Method of Cross Multiplication
4. Graphical Method
We prefer here Method of Eliminations :-
To solve systems using elimination, follow this procedure:
<h3>
<u>The Elimination Method</u></h3>
Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient.
Step 2: Subtract the second equation from the first to eliminate one variable
Step 3: Solve this new equation for other variable.
Step 4: Substitute the value of variable thus evaluated into either Equation 1 or Equation 2 and get the value other variable.
The first step here would be to write out an equation.
$32 ÷ 8 = ?
The reason we are doing thirty-two divided by eight is because this equation will give us the cost of one pound of Cashew Nuts.
Now we solve the equation.
$32 ÷ 8 = 4
So, this means our answer is, The <span>cost of 1 pound of Cashew Nuts is only $4.</span>
