Answer: X = 24
Step-by-step explanation:
Move all terms to the left:
(3x + 10) - (2x - 9) - 43 = 0
Get rid of all the parenthesis:
3x + 10 - 2x - 9 - 43 = 0
Add all the numbers and all variable:
x-24 = 0
Move all terms containing x to the left and all other terms to the right:
x = 24
No solution of the system of equations y = -2x + 5 and -5y = 10x + 20 ⇒ 2nd answer
Step-by-step explanation:
Let us revise the types of solutions of a system of linear equations
- One solution
- No solution when the coefficients of x and y in the two equations are equal and the numerical terms are different
- Infinitely many solutions when the coefficients of x , y and the numerical terms are equal in the two equations
∵ y = -2x + 5
- Add 2x to both sides
∴ 2x + y = 5 ⇒ (1)
∵ -5y = 10x + 20
- Subtract 10x from both sides
∴ -10x - 5y = 20
- Divide both sides by -5
∴ 2x + y = -4 ⇒ (2)
∵ The coefficient of x in equation (1) is 2
∵ The coefficient of x in equation (2) is 2
∴ The coefficients of x in the two equations are equal
∵ The coefficient of y in equation (1) is 1
∵ The coefficient of y in equation (2) is 1
∴ The coefficients of y in the two equations are equal
∵ The numerical term in equation (1) is 5
∵ The numerical term in equation (2) is -4
∴ The numerical terms are different
From the 2nd rule above
∴ No solution of the system of equations
No solution of the system of equations y = -2x + 5 and -5y = 10x + 20
Learn more:
You can learn more about the system of equations in brainly.com/question/6075514
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Answer: the answer is 3.6 mph
Step-by-step explanation: to find the average speed you need to divide your total distance by total time. Im this case you need to divide 12 by to find the average speed you need to divide your total distance by total time. Im this case you need to divide 12 by 3.25
First divided 140 by 100 to find out how much 1 percent is
140 ÷ 100 = 1.4
multiply 1.4 by 45 to find 45 %; 1.4 x 45 = 63
then add 63, which is 45%, to 140, which is 100%, and you get 203, which is 140 + 45%, or 145%
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