All categories

1 year ago

Solve the system of equations. Enter your answer as an ordered pair (x, y). 4x+y=−1 −5x−2y=−4

Mathematics

2 answers:

777dan777 [17]1 year ago

6 0

Answer:

Step-by-step explanation:

4x + y = - 1 -------------(I)

-5x - 2y = -4 -----------(II)

Multiply the equation (I) by 2 and then add the equations.

(I)*2 8x + 2y = -2

(II) -5x - 2y = -4 {Now add and y will be eliminated}

3x = -6

x = -6/3

x = -2

Substitute x = -2 in equation (I)

4*(-2) + y = -1

-8 + y = -1

y = - 1 + 8

y = 7

Lostsunrise [7]1 year ago

3 0

Answer:

(-2, 7)

Step-by-step explanation:

4x + y = -1

-5x - 2y = -4

---------------------------------------

2(4x + y = -1) = 8x + 2y = -2

---------------------------------------

8x + 2y = -2

-5x - 2y = -4

3x = -6

÷3 ÷3

x = -2

-----------------------------------------

4(-2) + y = -1

-8 + y = -1

+8 +8

y = 7

I hope this helps!

You might be interested in

On a piece of paper graph y=x+2 then determine which answer choice matches the graph you drew use the graph to find the zero of

kolezko [41]

Answer:

Step-by-step explanation:

When x=2 it reaches zero on the graph and also has the correct transformation

4 0

3 years ago

Read 2 more answers

I have a curved surface. I have no flat surfaces

Neko [114]

Answer:

A spehere

Step-by-step explanation:

A sphere only made up of a curved surface

on the other hand, a cone, cylinder, etc, have a flat surface. for a cone it's the floor. for a cylinder it's the ceiling and the floor of the object

5 0

2 years ago

The circle x2+y2=36 is translated 5 Units left and 4 units up where is the center of the new circle after the translation

Andrej [43]

The general equation of a circle is given by:
(x-a)^2+(x-b)^2=r^2
where:
(a,b) is the center
r is the radius

given the equation:
x^2+y^2=36
it means that the equation is centered at (0,0) with radius of 6 units. Thus a translation of 5 units to the left and 4 units up, will change the new center to
(-5,4)
thus the equation will be:
(x+5)^2+(y-4)^2=36

Answer: (x+5)^2+(y-4)^2=36

6 0

2 years ago

You want to make a snowman. The ball of snow that you use for the base has a volume of about 9,203 cubic inches. Find the radius

Katyanochek1 [597]

4/3 pi r^3 = 9203

r^3 = 9203 / (4/3 * 3.14) = 2198.17

radius r = 13 inches (A)

7 0

2 years ago

Int he figure below find AC

Ahat [919]

Given :-

Two triangles with their two angles equal .

To Find :-

Measure of AC .

Answer :-

Here in ∆ABC and ∆EDC ,

$\angle$ CAB = $\angle$ CED (given )
$\angle$ CBA = $\angle$ CDE (given)

Therefore by AA similarity criterion , we can say that ∆ABC ~ ∆EDC . Also we know that corresponding sides of similar triangles are proportional . So ,

→ AC/EC = BC/DC

→ AC/9 = 8/12

→ AC = 8/12 * 9

→ AC = 6

Hence the measure of side AC is 6 .

I hope this helps.

7 0

2 years ago