Mathematics, 01.12.2020 03:10 hailekelly1864

Which system of equations is satisfied by the solution shown in the graph?

Answers: 3

Show answers

Answers

(-2, 8) does not satisfy any system of the equation. In other words, no system of the equations satisfies the solution as shown in the graph.

Thus, not a single given option of the system of the equations satisfies the solution as shown in the graph.

Step-by-step explanation:

We know that the point of intersection of two lines on a graph is the solution of the system of equations.

From the graph, it is clear that the two lines intersect at x=-2 and y=8.

Thus, the point of intersection of the two lines is (-2, 8)

Putting the (-2, 8) in the first system of equations

x+2y=10 and x-y = 6

-2+2(8)=10 and -2-8=6

14 = 10 and -10 = 6

L.H.S ≠ R.H.S and L.H.S ≠ R.H.S

L.H.S and R.H.S of both the system of equations are not equal, It means (-2, 8) does not satisfy the system of the equations x+2y=10 and x-y = 6.

Putting the (-2, 8) in the second system of equations

x+2y=6 and x-y = 10

-2+2(8)=6 and -2-8=10

14 = 6 and -10 = 10

L.H.S ≠ R.H.S and L.H.S ≠ R.H.S

L.H.S and R.H.S of both the system of equations are not equal, It means (-2, 8) does not satisfy the system of the equations x+2y=6 and x-y = 10.

Putting the (-2, 8) in the third system of equations

x+y=6 and x-y = 10

-2+8=6 and -2-8=10

6 = 6 and -10 = 10

L.H.S = R.H.S and L.H.S ≠ R.H.S

L.H.S and R.H.S of x-y = 10 is not equal, It means (-2, 8) does not satisfy the system of the equations x+y=6 and x-y = 10.

Putting the (-2, 8) in the second system of equations

x+y=6 and x-2y = 10

-2+8=6 and -2-2(8)=10

14 = 6 and -18 = 10

L.H.S ≠ R.H.S and L.H.S ≠ R.H.S

L.H.S and R.H.S of both the system of equations are not equal, It means (-2, 8) does not satisfy the system of the equations x+y=6 and x-2y = 10.

In a nutshell, (-2, 8) does not satisfy any system of the equation. In other words, no system of the equations satisfies the solution as shown in the graph.

Thus, not a single given option of the system of the equations satisfies the solution as shown in the graph.

Answer from: Quest

answer: 25.4 units

step-by-step explanation: radius = 12.7 units

diameter = twice the radius

diameter = 12.7 x 2

= 25.4

The blue segment below is a radius of o. what is the length of the diameter of the circle?

Answer from: Quest

idn

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 12:30

What is the percent of increase for a population that changed from 438,000 to 561,000

Answers: 1

Answer

Mathematics, 21.06.2019 20:10

60 2(x + 2) in the diagram, gef and hef are congruent. what is the value of x?

Answers: 2

Answer

Mathematics, 21.06.2019 21:50

Desmond wants to sell his car that he paid $8,000 for 2 years ago. the car depreciated, or decreased in value, at a constant rate each month over a 2-year period. if x represents the monthly depreciation amount, which expression shows how much desmond can sell his car for today? 8,000 + 24x 8,000 - 24x 8,000 + 2x 8,000 - 2xdesmond wants to sell his car that he paid $8,000 for 2 years ago. the car depreciated, or decreased in value, at a constant rate each month over a 2-year period. if x represents the monthly depreciation amount, which expression shows how much desmond can sell his car for today? 8,000 + 24x 8,000 - 24x 8,000 + 2x 8,000 - 2x

Answers: 1

Answer

Mathematics, 21.06.2019 23:50