All categories

3 years ago

Solve the following system of equations: x − 2y = 14 x + 3y = 9

Mathematics

2 answers:

zheka24 [161]3 years ago

8 0

Answer:

(12, - 1)

Step-by-step explanation:

x - 2y = 14 ......... (1)

x + 3y = 9 ......... (2)

(2) - (1)

(x - x) + (3y - ( - 2y)) = 9 - 14

5y = - 5 ⇒ y = - 1

x + 3( - 1) = 9 ⇒ x = 12

(12, - 1)

nikdorinn [45]3 years ago

6 0

(12,-1) or x=12 and y=-1

EXPLANATION:
you set both equations equal to each other by subtracting the sum and adding it to the equation. once you set them equal to eachother (x-2y-14=x+3y-9)
you can solve by moving everything to one side by subtracting. once you get it all to one side you can start adding common numbers and variables and solve

You might be interested in

If yo travel56mph how far will you go in2hr15min how long does it take to cover 168 miles

Alex73 [517]

2 hr 15 min = 2 $\frac{1}{4}$ hours = 2.25 hours
"how far" means distance ... so distance = rate x time
distance = 56 x 2.25 = 126 miles

"how long" means time ... so using the same formula
168 = 56 x time
divide both sides of the equation by 56 to solve
3 hours = time

5 0

3 years ago

8x-5y=15 6x+4y=43 solve the system by any method

Sedbober [7]

Answer:

$x=\frac{275}{62}$ , $y=\frac{127}{31}$

Step-by-step explanation:

<h3>I will use the elimination method.</h3>

We want to make the X's the same:

$24x-15y=45$

$24x+16y=172$

Because the signs of the X's are the same we subtract the 2 equations to make:

(I put the second one on top of the 1st)

$31y=127$

So:

$y=\frac{127}{31}$

Substitute y into either equation 1 or 2:

(I chose equation 1)

$8x-5(\frac{127}{31})=15$

$8x=5(\frac{127}{31}) + 15$

$x=\frac{5(\frac{127}{31})}{8}$

So:

$x=\frac{275}{62}$

5 0

3 years ago

In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in

TEA [102]

F(x) has only one x-intercept when x=0

g(x)=-x^2-6

g(x)=-(x^2+6) so g(x) will have no x-intercepts as its maximum value will be -6.

g(x) is f(x) reflected about the x axis and shifted downwards by 6 units.

6 0

3 years ago

4+48 divided by 4x3..................................

BartSMP [9]

Answer:

4.41666666667

Step-by-step explanation:

sorry if im wrong, have a nice day!

8 0

3 years ago

Read 2 more answers

Which expression is equivalent to