How to find solution to system of equations using substitution?

Mathematics

1 answer:

iris [78.8K]3 years ago

7 0

Well u need to give me the equation and the substitutions for the variables then I can solve it

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Which of the following equations have infinitely many solutions?

Svetllana [295]

Answer:

Choice A

Step-by-step explanation:

In each case, each equation has an equation of a line in y = mx + b form equaling another equation of a line in y = mx + b form. If the two sides are equal, it is the same equation, there are infinitely many solutions. If the sides are different, then if the slopes are different, the lines intersect at one point, and there is exactly 1 solution. If the slopes are equal, the lines are parallel, and there is no solution.

(Choice A) -10x-10=-10x-10

In Choice A, both sides of the equation are equal, so there are infinitely many solutions.

(Choice B) 10x-10=-10x+10

(Choice C) 10x-10=-10x-10

(Choice D) -10x-10=-10x+10

In choices B through D, the two sides are not equal, so there is either 1 solution (B and C since they have different slopes) or no solution (D since the slopes are equal).

3 0

2 years ago

on a map with a scale 1: 25000,the area of a lake is 33.6 square centimeters. calculate the actual area of the lake, giving your

svlad2 [7]

Given :

On a map with a scale 1: 25000 .

The area of a lake is 33.6 square centimeters.

To Find :

The actual area of the lake.

Solution :

Let, actual area of lake is A.

So,

$\dfrac{33.6}{A}=\dfrac{1}{25000}\\\\A = 840000\ cm^2$

We know , $1 \ cm^2 = 10^{-10}\ km^2$

Area in km² is :

$A = 840000\times 10^{-10}\ km^2\\\\A = 8.4 \times 10^{-5}\ km^2$

Hence, this is the required solution.

6 0

2 years ago

Solve x^2+4x+8. What is the vertex?

LenKa [72]

Answer:

$(-2,4)$

Step-by-step explanation:

Well to start with there is a vertex formula which is $-\frac{b}{2a} =h\\$ , $f(h)$

Your initial equation is $x^2+4x+8$ where $ax^2+bx+c$ . So you would plug in your numbers $-\frac{4}{2(1)}$ $=-\frac{4}{2} =-2$ we know know that $h=-2$ so plug in h in $f(-2)$ which would be (-2)^2+4(-2)+8 = 4-8+8 = 4 which would make the vertex $(-2,4)$