All categories

3 years ago

What is the value of x in the solution to this system of equations?

Mathematics

2 answers:

irinina [24]3 years ago

8 0

Answer:

Step-by-step explanation:

B) -1

The 'x' value =-1 and y =-7

The solution of the given system of equations

(-1,-7)

Step-by-step explanation:

Step(i)

Given that the system of equations

x-y = 6 ..(i)

y = 2x -5 ..(ii)

By using substitution method,

substitute y=2x-5 in equation (i) , we get

x -(2x-5) =6

x -2x+5 =6

-x = 6-5

-x =1

x=-1

Step(ii):-

Put x=-1 in equation (ii) , we get

y = 2(-1) -5 = -2-5 =-7

The solution of the given system of equations

(-1,-7)

sp2606 [1]3 years ago

3 0

Answer:

B) -1

The 'x' value =-1 and y =-7

The solution of the given system of equations

(-1,-7)

Step-by-step explanation:

Step(i)

Given that the system of equations

x-y = 6 ..(i)

y = 2x -5 ..(ii)

By using substitution method,

substitute y=2x-5 in equation (i) , we get

x -(2x-5) =6

x -2x+5 =6

-x = 6-5

-x =1

x=-1

Step(ii):-

Put x=-1 in equation (ii) , we get

y = 2(-1) -5 = -2-5 =-7

The solution of the given system of equations

(-1,-7)

You might be interested in

How do you find the value of c that satisfy the equation:

victus00 [196]

Answer:

The value of c = -0.5∈ (-1,0)

Step-by-step explanation:

Step(i):-

Given function f(x) = 4x² +4x -3 on the interval [-1 ,0]

Mean Value theorem

Let 'f' be continuous on [a ,b] and differentiable on (a ,b). The there exists a Point 'c' in (a ,b) such that

$f^{l} (c) = \frac{f(b) -f(a)}{b-a}$

Step(ii):-

Given f(x) = 4x² +4x -3 …(i)

Differentiating equation (i) with respective to 'x'

f¹(x) = 4(2x) +4(1) = 8x+4

Step(iii):-

By using mean value theorem

$f^{l} (c) = \frac{f(0) -f(-1)}{0-(-1)}$

$8c+4 = \frac{-3-(4(-1)^2+4(-1)-3)}{0-(-1)}$

8c+4 = -3-(-3)

8c+4 = 0

8c = -4

$c = \frac{-4}{8} = \frac{-1}{2} = -0.5$

c ∈ (-1,0)

Conclusion:-

The value of c = -0.5∈ (-1,0)

8 0

3 years ago

Triangle QRS is plotted in Quadrant I. After a 180° rotation about the origin, which quadrant would its image be? quadrant I qua

soldier1979 [14.2K]

Triangle QRS is plotted in Quadrant I. After a 180° rotation about the origin, which quadrant would its image be? quadrant III

8 0

3 years ago

Read 2 more answers

Simplify the expression. -2(x + 5) - x + 4

wlad13 [49]

Answer:

−3 x −6

Step-by-step explanation:

7 0

3 years ago

Belinda's GPS system worth $400 was stolen out of her car. If Belinda's insurance policy summary is given below, how much will B

Pavlova-9 [17]

She will receive $25.

They will take her claim and subtract the comprehensive deductible from it (comprehensive is the insurance that covers theft, not collision).

400-375=25

5 0

3 years ago

Read 2 more answers

What's the answer? please help

yan [13]

Answer: -4/3

Y2-y2/x2-x1

7 0

2 years ago

Read 2 more answers