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bogdanovich [222]
3 years ago
7

How many solutions does y=2x+2,4x-2y=4 have?

Mathematics
1 answer:
Leni [432]3 years ago
8 0
Write as a system y= 2 x + 2.4x - 2y = 4

{y = 4
{2x + 2.4x - 2y = 4

Substitute the value of y into the equation

2x + 2.4x - 2 x 4 = 4

Solve the equation

x= 30/ 11

A possible solution is

(x, y) = (30/11, 4)

Check the solution

4 = 2 x 30/11+ 2.4 x 30/11 - 2 x 4 = 4

Simplify the expression

4 = 4 = 4

The ordered pair is a solution

(x, y) = ( 30/11, 4)



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Jessie has some nickels, dimes, and quarters in her bank. The number of coins is 30. The expression 0.05n + 0.10d + 0.25q repres
goldfiish [28.3K]

Answer:

n = 12 nickels

d = 11 dimes

q = 7 quarters

Step-by-step explanation:

.05n + .1d + .25q = 3.45

n + d + q = 30

n = q + 5

n = 12

d = 11

q = 7

8 0
3 years ago
Write in slope intercept form, then convert to standard form Slope=1, y-intercept=-3​
Viktor [21]

Slope = 1

y-intercept = -3, which can be expressed as (0,-3).

y - y_1 = m(x - x_1)

y -(-3) = 1(x - 0)

y + 3 = x

The slope-intercept form is

y = x - 3.

The standard form is Ax + By = C.

y = x - 3

3 = x - y

Done.

6 0
3 years ago
PLZ HLP Given the equation 5x + y = 7, which equation below would cause a consistent-independent system?
DanielleElmas [232]

Answer:

the equation D ) would cause a consistent-independent system.

Step-by-step explanation:

A ) 5 x + y = 7  /*( -2 )

    10 x + 2 y = 14

    --------------------

    - 10 x - 2 y = - 14

      10 x + 2 y = 14

   ------------------------

       0 x = 0  ( Dependent system )

B ) 5 x + y = 7  / *  3

    - 15 x - 3 y = - 6

    --------------------------

    15 x + 3 y  = 21

    - 15 x - 3 y = - 6

  -------------------------

        0 x = 15 ( Inconsistent system )

C )   5 x + y = 7

       5 x + y = - 7  / * ( - 1 )

       ---------------------------

       5 x + y = 7

      - 5 x - y = 7

    ------------------

        0 x = 14  ( Inconsistent system )

D ) 5 x + y = 7  / * ( - 2 )

     6 x + 2 y = 7

     ------------------

      - 10 x - 2 y = - 14

        6 x   + 2 y = 7

      -----------------------

       - 4 x = - 7;     x = 7/4;   y = - 7/4

7 0
3 years ago
Consider the sequence 6, 11, 16, 21 . . . . What is the 50th term in this sequence?
Damm [24]

Answer:

251

Step-by-step explanation:

Tn=5n+1

e.g.T1=5(1)+1

=6

e.g.T2=5(2)+1

=11

e.g.T3=5(3)+1

=16

e.g.T4=5(4)+1

=21

Answer:T50=5(50)+1

=251

5 0
3 years ago
Shannon bought 518 pounds of apples. Bill bought 278pounds of apples. Which most closely estimates how many more pounds of apple
Aleksandr-060686 [28]

Answer:

240 pounds.

Step-by-step explanation:

Given that,

Shannon bought 518 pounds of apples.

Bill bought 278 pounds of apples.

We need to find how many more pounds of apples Shannon bought than Bill.

More Apples = Shannon Apples - Bill Apples

= 518 - 278

= 240

Hence, 240 pounds of apples Shannon bought than Bill.

3 0
2 years ago
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