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svlad2 [7]
3 years ago
12

Part A: how many solutions dose the pair of equations for lines A and B have?

Mathematics
2 answers:
Ede4ka [16]3 years ago
8 0

Any line can be expressed in the form y=mx+b where m is the slope and b is y intercept.

Two lines can either be parallel ,overlap or meet at one point .Let us look at different cases :

1)When two lines are parallel they do not intersect at any point and hence the system of equations have no solution.

2) When two lines overlap each other then the two lines touch each other at infinite number of points and we say the system of equations have infinite solutions.

3) When two lines intersect each other at one point we say the system of equation has one solution.

Part A:

The given lines are intersecting at one point so we have one solution.

Part B:

The point of intersection is the solution to the system of equations .In the graph the point of intersection of the lines is (4,4)

Solution is (4,4)

Vera_Pavlovna [14]3 years ago
5 0

Part A: The number of solutions for a set of linear equations (in this case only two of them, represented as two lines) is the number of points of intersection. For linear equations in 2-dimensions the only possible answers are zero, one and infinity. In this case it is clearly one.

Part B: By inspection, the point of intersection, and thus the solution to the system of equations, is (4,4).

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blondinia [14]

Answer:

x=14

y=140

Step-by-step explanation:

Using (9x+14) + (3x-2) = 180, we can solve this equation.

First add like values giving you 12x+12=180. Then subtract 12 from both sides giving you 12x=168.

Then divide both sides by 12 giving you x=14.

Finally, just simply set 9x+14 equal to y and substitute x for 14. This gives you 140=y

Hope this helped

6 0
3 years ago
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One of the largest pumpkins ever grows weighed about 3 4ths ton.how many pounds did the pumpkins weigh?
serg [7]
1500 pounds. 1 ton is equal to 2000 pounds. Divide 2000 by 4 and get 500 multiply by 3 to create 3/4 of a ton and get 1500. 1500 pounds
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3 years ago
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−30=5(x+1)minus, 30, equals, 5, left parenthesis, x, plus, 1, right parenthesis<br> x =x=x, equals
ivann1987 [24]

Answer:

x = -7

Step-by-step explanation:

−30=5(x+1)

Divide each side by 5

-30/5=5/5(x+1)

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Subtract 1 from each side

-6-1 = x+1-1

-7 =x

8 0
3 years ago
Which procedure correctly simplifies the expression? ( 4 x − 3 ) − 2 ( x + 5 ) A. Step 1: 4 x − 2 x − 3 + 5 Step 2: 2 x + 2 B. S
olya-2409 [2.1K]

Answer:

<em>Step 1: 4 x − 3 − 2 x − 10 </em>

<em>Step 2: 2 x − 13</em>

Step-by-step explanation:

Given the expression;

(4 x − 3) − 2 (x + 5)

The following steps/ procedure are to be taken when simplifying the expression.

open the parenthesis

(4 x − 3) − 2 (x + 5)

= 4x-3 -2(x)-2(5)

= 4x-3-2x-10

collect the like terms

= 4x-2x-3-10

simplify the resulting expression

= 2x-13

Hence the procedure that correctly simplifies the expression are:

Step 1: 4 x − 3 − 2 x − 10

Step 2: 2 x − 13

6 0
3 years ago
Find the specified amount for the investment:$5,000.00 invested at 8.1% compounded quarterly; find the account balance at the en
Airida [17]

Answer:

0.081

Step-by-step explanation:

7 0
2 years ago
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