Hello!
To solve algebraic equations, we need to use SADMEP. SADMEP is an acronym used only solve for x in algebraic equations. SADMEP is expanded to be: subtraction, addition, division, multiplication, exponents, and parentheses.
(a) 4 + 2(-1) = 10 + 2 (multiply)
4 + -2 = 10 + 2 (add)
2 = 12
This equation has no solutions because <u>2 is never equal to 12</u>.
(b) 30 = 10 - (6 + 10) (simplify the parentheses)
30 = 10 + -1(16) (multiply)
30 = 10 - 16 (simplify)
30 = -6
This equation has no solutions because<u> 30 and -6 is never equal to each other</u>.
(c) 8x = 4x + 4x + 10(x - x)
8x = 4x + 4x + 10(x - x) (simplify [add and subtract])
8x = 8x + 10(0) (multiply)
8x = 8x
This equation has an infinite number of solutions because if you <u>substitute any value into the original equation</u>, <u>both sides of the equation</u> will be <u>always equal</u>.
Answer: 2 2/10
Step-by-step explanation:
The larger number is 10 and smaller number is 6.
Step-by-step explanation:
Given,
The difference between two numbers = 4
Let,
x be the larger number.
y be the smaller number.
According to given statement;
x-y=4 Eqn 1
3y=2x-2 Eqn 2
Multiplying Eqn 1 by 3
Putting value of 3y from Eqn 2 in Eqn 3
Putting x = 10 in Eqn 2
Dividing both sides by 3
The larger number is 10 and smaller number is 6.
Keywords: linear equation, substitution method
Learn more about substitution method at:
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Answer:
length of rectangle = 32.25 cm
Width of rectangle = 10.75 cm
Step-by-step explanation:
Let the length of rectangle be x.
And width of rectangle be y.
According to the problem,
x = 3y {Since the length of a rectangle is equal to triple the width}
Also,
Perimeter of rectangle = 86
or 2 (x + y) = 86
Plug x =3y in the above equation
We get, 2(3y + y) = 86
2 * 4y = 86
4y = 43
y = 43/4 = 10.75
So, length of rectangle = 3 * 10.75 = 32.25cm
Width of rectangle = 10.75cm
