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3 years ago

How many solutions does the system below have?3y = -x + 843y = -x - 54

Mathematics

1 answer:

Dominik [7]3 years ago

6 0

Answer:

I am taking the equations as 3y= -x+8

43y= -x-5

according to this there is only one unique solution

Step-by-step explanation:

se to identify solution identify type of line first

check the ratio of coffecient of variable and constant

if y1/y2 = x1/x2 = c1/c2 then the lines are coinciding and have infinite solution

if y ratio is not equal to x then 1 solution as I your question

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Find the equation of a line that goes through the points (8, -9) and (-4, 15).

Natasha_Volkova [10]

Answer:

y = - 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (- 4, 15)

m = $\frac{15+9}{-4-8}$ = $\frac{24}{-12}$ = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, - 9), then

- 9 = - 16 + c ⇒ c = - 9 + 16 = 7

y = - 2x + 7 ← equation of line

3 0

3 years ago

Z + 21/–1 = –3. z+21/-1 is a fraction

Vika [28.1K]

Answer:

No Answer

Step-by-step explanation:

$z+\frac{21}{-1} =-3*z+\frac{21}{-1}$

cancel out same on both sides

$0=-3$

N/A

3 0

3 years ago

Read 2 more answers

Which expression is equal to 4/8

givi [52]

<h2>Fractions</h2>

Which expression is equal to $\large\tt \frac{4}{8}$ ?

Option 1

$\large \tt 4 \times \frac{1}{2} = \frac{4}{1} \times \frac{1}{2} = \red{\frac{4}{2}}$

Option 1 is not equal to $\large\tt \frac{4}{8}$

$\huge{\overline{\qquad\qquad\qquad\qquad \: \: \: }}$

Option 2

$\large \tt 3 \times \frac{1}{5} = \frac{3}{1} \times \frac{1}{5} = \red{\frac{3}{5}}$

Option 2 is not equal to $\large\tt \frac{4}{8}$

$\huge{\overline{\qquad\qquad\qquad\qquad \: \: \: }}$

Option 3

$\large \tt 3 \times \frac{1}{8} = \frac{3}{1} \times \frac{1}{8} = \red{\frac{3}{8}}$

Option 3 is not equal to $\large\tt \frac{4}{8}$

$\huge{\overline{\qquad\qquad\qquad\qquad \: \: \: }}$

Option 4

$\large \tt 4 \times \frac{1}{8} = \frac{4}{1} \times \frac{1}{8} = \green{\frac{4}{8}}$

Therefore, option 4 is equal to $\large\tt \frac{4}{8}$

$\huge{\overline{\qquad\qquad\qquad\qquad \: \: \: }}$

<h3>#CarryOnLearning</h3>

7 0

3 years ago

Can you draw only one isosceles triangle that contains an angle of 65

arsen [322]

No because it doesn't make sense <span />

6 0

3 years ago

Which exponential function is represented by the values in the table?

svlad2 [7]

Here we use the equation

$y = a(b)^x$

Taking points (0,4), (1,2)

Substituting the point (0,4) , we will get

$4 = a(b)^0
\\
4 = a(1) \\
a =4$

Substituting (1,2) we will get

$2 = 4 (b)^1
\\
2/4 = b
\\
b = 1/2$

So we have

$a = 4, b = 1/2$

Therefore , required equation is

$y = 4(1/2)^x$

7 0

3 years ago

Read 2 more answers

How many solutions does the system below have?3y = -x + 843y = -x - 54​

How many solutions does the system below have?3y = -x + 843y = -x - 54