All categories

3 years ago

Graph the equation to solve the system y= -1/2x +3 y= -1/3x +4

Mathematics

1 answer:

zheka24 [161]3 years ago

6 0

Answer:

the solution is (-6, 6)

Step-by-step explanation:

This system, y= -1/2x +3 y= -1/3x +4, can be quickly solved for x by letting y = y:

y= -1/2x +3 = y= -1/3x +4. Then -1/2x + 3 = -1/3x +4. The fractional coefficients should be enclosed inside parentheses:

(-1/2)x + 3 = (-1/3)x +4

Let's remove the fractional coefficients. The LCD is (2)(3) = 6. Multiply all four terms by 6, obtaining:

-3x + 18 = -2x + 24

Combining like terms, we get -6 = x.

Find y: substitute -6 for x in either of the given equations:

y= (-1/2)(-6) +3 = 3 + 3 = 6. So y = 6 when x = -6, and the solution is (-6, 6).

You might be interested in

Find the value of x and find the unknown angle measures.

Alborosie

Answer:

m-A=25

m-b=65

m-c=50

Step-by-step explanation:

Find the value of x

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

In the triangle ABC

substitute the given values

Solve for x

step 2

Find the measure of angle B

we know that

substitute the value of x

step 3

Find the measure of angle C

we know that

substitute the value of x

6 0

3 years ago

After the 15% sales tax the jeans were $11.50. How much was the jeans before the sales price?

agasfer [191]

Thirteen dollars and twenty two cents just add 15% to $11.50.

8 0

2 years ago

The figures show the dimensions of a tennis court and a basketball court given in terms of the width in feet of the tennis court

Sholpan [36]

Answer:

a. Perimeter of the tennis court = 6x + 12

Perimeter of the Basketball court = 7x + 36

b. x + 24

c. Length of the tennis court = 78 feet

Width of the tennis court = 36 feet

Length of the Basketball court = 94 feet

Width of the Basketball court = 50 feet

Step-by-step explanation:

a. Perimeter of the rectangle = 2(length + width)

So, perimeter of the tennis court = 2[(2x + 6) + x]

= 2(3x + 6)

= 6x + 12

Perimeter of the Basketball court = 2[(3x - 14)+( $\frac{1}{2}$ x + 32)]

= 6x - 28 + x + 64

= 7x + 36

b. Perimeter of the Basketball court - perimeter of the tennis court

= (7x + 36) - (6x + 12)

= 7x + 36 - 6x - 12

= x + 24

So, perimeter of the basketball court is x + 24 feet greater than that of the tennis court

c. It is given that the width of the tennis court = 36 feet

But, from the figure,

width of the tennis court = x

So, x = 36

Therefore, length of the tennis court = 2x + 6

= 2(36) + 6

= 72 + 6

= 78 feet

Width of the tennis court = x = 36 feet

Length of the basketball court = 3x - 14

= 3(36) - 14

= 108 - 14

= 94 feet

Width of the basketball court = $\frac{1}{2} x+32$

$=\frac{1}{2} (36)+32$

= 18 + 32

= 50 feet

7 0

3 years ago

Moe puts $1500 in a bank certificate that pays an annual rate of 4.5% compounded annually. No withdrawals or deposits are made.

SpyIntel [72]

Answer:

FV= $2,041.29

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,500

Number of periods (n)= 7 years

Interest rate (i)= 4.5% = 0.045

<u>To calculate the future value, we need to use the following formula:</u>

FV= PV*(1+i)^n

FV= 1,500*(1.045^7)

FV= $2,041.29

6 0

2 years ago

What is the area of the following circle?

irina1246 [14]

Could you show the circle so we can solve this? we can’t solve it if you don’t show the area of the circle.

6 0

3 years ago

Read 2 more answers