Step 1.) Multiply both sides of the equation by -6
step 2.) Sum the equations vertically to eliminate at least one variable
step 3.) Divide both sides of the equation by
step 4.) Substitute the given value of into the equation x - 2y = 10
step 5.) Solve the equation for x
step 6.) The possible solution of the system is the ordered pair (x , y)
step 7.) Check if the given ordered pair is the solution of the system of equations
step 8.) Simplify the equalities
step 9.) Since all of the equalities are true, the ordered pair is the solution of the system
So your answer would end up being (40/13 , -45/13) !! Hope that helps you out :D !!
Answer:
8 inches,
Step-by-step explanation:
2 2/3 = 8/3.
3 * 8/3
= 8 inches,
R12 because you multiply the numbers but keep the (r)
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -15 ± √((15)^2 - 4(2)(4)) ] / ( 2(2) )
x = [-15 ± √(225 - (32) ) ] / ( 4 )
x = [-15 ± √(193) ] / ( 4)
x = [-15 ± sqrt(193) ] / ( 4 )
x = -15/4 ± sqrt(193)/4
The answers are -15/4 + sqrt(193)/4 and -15/4 - sqrt(193)/4.
There are 152 men, 76 women and 38 children.
Step-by-step explanation:
Total persons = 266
Let,
men = m
women = w
children = c
According to given statement;
m+w+c=266 Eqn 1
m = 4c Eqn 2
w = 2c Eqn 3
Putting value of m and w from Eqn 2 and 3 in Eqn 1
Dividing both sides by 7
Putting c=38 in Eqn 2;
Putting c=38 in Eqn 1;
There are 152 men, 76 women and 38 children.
Keywords: linear equations, substitution method
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