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3 years ago

Which properties justify the steps taken to solve the system?

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

6 0

Answer:

This system of equations was solved the Reduction Method:

Step 1: Multiply the equations by the appropriate numbers (The first equation was multiplied by 5 and the other one bye 7), so that one of the variables disappears by subtracting both equations.

Step 2: The equations were algebraically added and one of the variables disappeared (Resulting in 31a= 217).

Step 3: The variable "a" was cleared to know its value (a= 217/31= 7).

Step 4: The value "a" obtained is substituted in one of the previous equations.

Step 5: Multiply the 2 (coefficient of "a" in the first equation) by the value "a" obtained (2x7= 14).

Step 6: The independent term "14" is passed to the right member and his sign changes to negative (-14)

The final step is to clear variable "b" to know its value (b= -17/4= -2).

Step-by-step explanation:

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What is x in 1/150/1/200x2=x

choli [55]

Answer:

6.66666667E-5

hope this helped a bit!

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2 years ago

What is it called in cubic inch of a cylinder with a height of 4in and a base radius of 5in to the nearest tenths place?

Maru [420]

Answer:

1,256.8in

Step-by-step explanation:

Given data

Height h =4in

Radius r= 5in

The expression for the volume of cylinder is

V=πr²h

Substitute

V=3.142*4²*5

V=3.142 *16*25

V=1,256.8in³

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3 years ago

Steve paid 10% tax on a purchase of $40. Select the dollar amount of the tax and the total dollar amount Steve paid on the numbe

lidiya [134]

Steve payed $4 in tax because 10% of 40 is 4. Steve payed $44 in total because 4+40=44.

8 0

2 years ago

Read 2 more answers

The table shows sets of ordered pairs that form a relation.

tiny-mole [99]

A relation is a relationship between sets of values. In math, the relation is between the x-values and y-values of ordered pairs. The set of all x-values is called the domain of the relation, and the set of all y-values is called the range of the relation.

A relation from a set X (domain) to a set Y (range) is called a function if each element of X is related to exactly one element in Y.

A. A relation {(2,-3), (3,-3), (1,4), (9,2)} is a function, because each x has exactly one element y related to.

B. A relation {(8,-3), (3,8), (9,4), (-2,2)} is a function, because each x has exactly one element y related to.

C. A relation {(1,-1), (4,8), (9,-1), (3,2)} is a function, because each x has exactly one element y related to.

D. A relation {(1,-1), (-1,5), (1,-6), (-3,2)} is not a function, because x=1 has two possible outcomes y: y=-1 or y=-6.

Answer: A, B and C are functions and D is not a function

4 0

2 years ago

What is the equation of the line that passes through the points four over 5 , and one over five and then one half , and three ov

Scorpion4ik [409]

Your answer is y = -(13/3)x + 11/3. I have put the brackets to show that the entire fraction is negative, they do not do anything else.
First we need to find the slope of the line using the equation (y2 - y1)/(x2 - x1), so we get (3/2 - 1/5)/(1/2 - 4/5). To make this easier, I did each subtraction separately:
3/2 - 1/5 = 15/10 - 2/10 = 13/10
1/2 - 4/5 = 5/10 - 8/10 = -(3/10)
And then we need to divide 13/10 by -(3/10), so:
13/10 ÷ -(3/10) = 13/10 × -(10/3) = -(130/30) = -(13/3), which is our slope.
Then, we can write the equation y = -(13/3)x + c, and substitute in coordinates:
3/2 = (-13/3 × 1/2) + c
3/2 = -(13/6) + c
c = 11/3
So the final equation is y = -(13/3)x + 11/3.
I hope this helps!

3 0

3 years ago