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
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Answer:
Step-by-step explanation:
you need to use the proportions
x=(3*5)/8=15/8
Answer: 7/8
Step-by-step explanation:
think of each faction as a pie or pizza.
each one will have the number of slices as the bottom number of the fraction.
now shade in the top numbers and see if it more than your 1/2
you will see 7/8 is the answer since it will be one piece left from being complete or "gone"
hope this helped angel!!
Answer:
The Correct option is C. Addition Property of Equality.
For above Equation by Elimination we use
Addition Property of equality
Step-by-step explanation:
Given:
Addition Property of Equality :
The property that states that if you add the same number to both sides of an equation, the sides remain equal (i.e., the equation continues to be true.)
Here equation is given as
3x + 4y = 38
+ 5x - 4y = -30
-------------------------------------
8x = 8
------------------------------------
Here +4y and -4y gets cancelled or becomes 0 hence 8x = 8.
For above Equation by Elimination we use
Addition Property of equality
Answer:
9600 people would vote.
Step-by-step explanation:
3/5 = .6
16,000 * .6 = 9600
