Can someone plz help with this problem. 1+m=6m-6(m-1)

5x + 2y=7 - 2x + 6y=9

ollegr [7]

Answer:

x = $\frac{12}{17}$ or 0.706

$y = \frac{59}{34}$ or 1.735

Step-by-step explanation:

5x + 2y=7 ----->(eq 1)

- 2x + 6y=9 ----->(eq 2)

Multiply (eq 1) with 3

3×(5x + 2y) = 3×7

15x + 6y = 21 ----->(eq 3)

substract (eq 3) from (eq 2)

- 2x + 6y - (15x + 6y) = 9-21

- 2x + 6y - 15x - 6y = 9-21

- 2x - 15x + 6y - 6y = 9-21

-17x = -12

x = -12 ÷ -17

x = $\frac{12}{17}$

put x = $\frac{12}{17}$ in (eq 1)

$5*\frac{12}{17} + 2y = 7$

$2y = 7- 5*\frac{12}{17}$

$2y = \frac{7*17 - 60}{17}$

$2y = \frac{119- 60}{17}$

$2y = \frac{59}{17}$

$y = \frac{59}{17*2}$

$y = \frac{59}{34}$

6 0

3 years ago

Solve the system of equations 12x-5y=-20 y=x+4 x=_______ y=_______

pashok25 [27]

Answer:

x = 0

y = 4

Step-by-step explanation:

Given

12x - 5y = -20

y = x + 4

Substitute x + 4 for y in the first equation

12x - 5(x + 4) = -20

Expand the bracket

12x -5 X x - 5 x 4 = -20

12x - 5x - 20 = -20

7x - 20 = -20

Add 20 to both sides to eliminate -20 on the left side

7x - 20 + 20 = -20 + 20

7x = 0

Divide both sides by 7 to isolate x

7x/7 = 0/7

x = 0

Substitute 0 for x in either equation to get y

Using equation 2, we have

y = x + 4

= 0 + 4

= 4

x = 0

y = 4

3 0

3 years ago

Evaluate each expression x=-3,y=6,z=-4what is x+y+(-1)

Alex_Xolod [135]

substitute the numbers.

-3 + 6 - 1

= 2

8 0

3 years ago

What sum of money lent out at 12 percent p.a. simple would produce rupesh 9000 interest in 2 years

natka813 [3]

Answer:

1380 = P x 12 x 2/100

138000 = 24P

Therefore P = 5750 Rs.

Step-by-step explanation:this hope this help and have a great day or night!!! bye

3 0

3 years ago

A satellite dish is shaped like a paraboloid of revolution. The signals that emanate from a satellite strike the surface of the

allochka39001 [22]

Answer:

The receiver must be placed at a distance of 6.125 ft from the center.

Step-by-step explanation:

The dish is of parabola shape with the length of 14 feet and 2 feet deep from the center.

A parabola is a curve which is a set of all points in the plane which are at equal distance away from a given point called focus and given line called directrix.

We have to find out the point at which all the waves comes to one point where the receiver must be placed is the focus of the parabola.

The above scenario is shown in the image which can be converted in mathematical graphical representation of the parabolic curve.

The extreme two end points becomes, (-7,2) and (7,2)

The general equation for such parabola is:

x² = 4ay

where, a is the distance from the center and the focus.

Since, (7,2) satisfy the equation so,

7² = 4a×2

a = 49 /8

Thus,

The receiver must be placed at a distance of 6.125 ft from the center.

5 0

3 years ago