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2 years ago

When does a linear equation have infinitely many solutions?

Mathematics

2 answers:

patriot [66]2 years ago

5 0

Answer:

Step-by-step explanation:

A linear equation does not actually have solutions; rather, we find the locus of points ( x, y = f(x) ) and draw a straight line through them.

It is a SYSTEM of linear equations that may or may not have solution(s).

If one equation in this system is a multiple of the other, then the two equations represent the same line and the SYSTEM has infinitely many solutions. The graphs of the two equations coincide/overlap.

Kipish [7]2 years ago

3 0

Answer:

An equation can have infinitely many solutions when it should satisfy some conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.

Step-by-step explanation:

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Find the value of x so that the function has the given value.

nataly862011 [7]

For h(x) = -7x + 10, x =1

For r(x) = 4/5x+ 7 , x = -15

Step-by-step explanation:

in order to find the value of x on which the functions will have given values, we will put the functions equal to the given values

So,

h(x) = -7x + 10; h(x) = 3

$h(x) = -7x+10\\3 = -7x+10\\3-10 = -7x+10-10\\-7 = -7x$

Dividing both sides by -7

$\frac{-7x}{-7} = \frac{-7}{-7}\\x = 1$

r(x) = 4/5x+7; r(x) = -5

$r(x) = \frac{4}{5}x +7\\-5 = \frac{4}{5}x +7\\-5-7 = \frac{4}{5}x\\-12 = \frac{4}{5}x\\x = -12 * \frac{5}{4}\\x = -15$

Keywords: Functions

Learn more about functions at:

#LearnwithBrainly

3 0

2 years ago

How do i answer this question 5*(8-4)/4-2

NemiM [27]

the answer is 3

but a way to work these problems out is to use PEMDAS

p-parentheses

e-exponent

m-multiplication

d-division

a-addition

s-subtraction

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6 0

2 years ago

A certain bank balance b is given by b= 100+d-w where d is deposits and w is withdrawls. What is the balance when d =100 and w=1

expeople1 [14]

You know that d = 100 and w = 125, so you plug that into the equation and solve as shown:
b= 100 + d - w
= 100 + 100 - 125
= 200 - 125
= $75
You now have $75 left as balance.

3 0

2 years ago

Read 2 more answers

What is 42/8832 with remainder

mario62 [17]

8832 ÷ 42 = 210.2857

3 0

2 years ago

The cost of hiring a taxi consists of a fixed cost of $3 plus $0.5 per kilometer distance travelled. Write an expression in term

irinina [24]

Answer:

The required expression is:

y = 0.5x + 3

Please check the attached graph too.

Step-by-step explanation:

The slope-intercept form of the linear or line function

$y = mx+b$

where

m is the rate of change or slope

b is the y-intercept

In our case,

The cost of hiring a taxi consists of a fixed cost of $3. It means the fixed cost of $3 is the initial condition.

Thus, the y-intercept b = 3

It is stated that the cost of per kilometer distance = $0.5

Thus, the rate of change or slope m = 0.5

As y represents the cost and x represents the number of kilometers.

so substituting m = 0.5 and b = 3 in the slope-intercept form of the linear or line function

y = mx+b

y = 0.5x + 3

Thus, the required expression is:

y = 0.5x + 3

Please check the attached graph too.

5 0

2 years ago