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Tpy6a [65]
2 years ago
15

What is the solution of the system of equations 2x-5y=11 and -2x+3y=-9

Mathematics
1 answer:
Rainbow [258]2 years ago
6 0
Equation 1:
x = (5y+11)/2
Substitute equation 1 to 2:
-2((5y+11)/2)+ 3y=-9
-2/2 = -1 thus -1(5y+11)

Continue...
-(5y+11)+3y=-9
-5y-11+3y =-9
(-5+3)y= 11-9
-2y = 2
y=-1

Substitute y into equation 1:
x=(5*-1+11)/2
x = 6/2=3

So y=-1 and x =3
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Please help me out The equation 9(w + 7) = 27 solved in several steps below. For each step, choose the reason that best justifie
Vaselesa [24]
9w+63=27

27-63= -36

-36•/•9=-4

answer: -4=w

hope this helps
4 0
3 years ago
f f(x)=2x f ( x ) = 2 x and g(x)=x2+3 g ( x ) = x 2 + 3 , find (g ∘ f)(x) ( g ∘ f ) ( x ) . Question 2 options: 2x2+3 2 x 2 + 3
Deffense [45]

Answer:

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6 0
3 years ago
There are 750 toothpicks in a regular sized box. If a jumbo box is made by doubling all the dimensions of the regular sized box,
Serga [27]

To answer this, let the 3 sides of the regular sized rectangular box be x, y, and z.

When we double all the sides, the new sides have lengths 2x, 2y, and 2z, respectively.

Since the regular box (with dimensions x,y, and z) have 750 toothpicks, we can write

xyz=750

Similarly we can write for the jumbo box as,

(2x)(2y)(2z)

which is equal to 8(xyz)

So this is 8 times the original of xyz. Hence the jumbo box will have 8 times 750 number of toothpicks.

ANSWER: 8*750=6000 toothpicks

7 0
3 years ago
Read 2 more answers
It takes exactly 26 paper clips laid end to end to make 17 7/8 inches. How long is each paper clip? (I really need the explanati
solong [7]

Answer:

11/16 inch or 0.6875 inch

Step-by-step explanation:

26 * x = 17 7/8

17 7/8 = 143/8

143/8 ÷ 26 = 143/8 x 1/26 = 143/208 = 0.6875

0.6875 in = 11/16 in

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Check

11/16 x 26 = 17.875 or 17 7/8

4 0
2 years ago
Write an equation of the line through (6,-2) with a slope of 4
torisob [31]

Notice that for this question, they are providing you with:

1) The slope of the line (4)

2) a point on the plane through which the line goes (6, -2)

So you can directly use for this the "point-slope" form of a line which is as follows:

y-y_0=m(x-x_{0)}

This includes m as the slope, and the pair (x0, y0) as the pair representing the point the line goes through.

So, let's use the info they gave you to complete this:

y-(-2)=4(x-6)

which we can work out a little more:

y+2=4x-24

And even a little more to finish the equation of the line in its standard slope-intercept form:

y=4x-24-2=4x-26

So the equation of the line is:

y=4x-26

3 0
1 year ago
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