All categories

3 years ago

What is the value of the x variable in the solution to the following system of equations?

2 answers:

8 0

Multiply the bottom equation by 2 and you'll get

4x + 2y = 12
2x - 2y = 6

Then combine the two equations and the y's will cancel out and you'll get

6x = 18

Divide by 6.

x = 3

Tems11 [23]3 years ago

5 0

4x+2y = 12
x+ y = 3
Times the bottom one by -2
4x+2y=12
2x-2y=-6
Cancel out the 2y and -2y and add 4x and 2x, 12 and -6 together
6x=6
divide by 6 for x
x=1
your answer is 1

You might be interested in

Solve for g.

Y_Kistochka [10]

Answer:

g =6/5 g=-5/2

Step-by-step explanation:

(5g − 6)(2g + 5) = 0

Using the zero product property

(5g − 6) =0 (2g + 5) = 0

5g-6+6 =0+6 2g+5-5=0-5

5g =6 2g =-5

5g/5 = 6/5 2g/2 =-5/2

g =6/5 g=-5/2

7 0

3 years ago

How do you determine whether a sum will be positive, negative, or 0 when adding a positive and a negative integer?

professor190 [17]

If the integers have the same absolute value ... they're the same number
but with different signs ... then their sum is zero.

Example: (plus) 927 added to (negative) 927 = zero

If the integers have different absolute values ... they're different numbers with different
signs ... then their sum has the same sign as the one with the bigger absolute value.

Examples:

==> (plus) 92 added to (negative) 91
   92 and 91 are 1 number apart on the number line.
   The positive number is bigger than the negative number.
   So the sum is +1 .

==> (plus) 35 added to (negative) 37
      35 and 37 are 2 numbers apart on the number line.
      The negative number is bigger than the positive one.
So the sum is -2 .

3 0

2 years ago

Solve the equation 7/z-1 = 9/z+4

algol [13]

Answer:

z is equal to 18.5

Step-by-step explanation:

When an equation is in the format a/b = c/d, the quickest way to simplify it is to cross multiply. Each side is multiplied by the other sides denominator, eliminating the division:

$\frac{7}{z-1} = \frac{9}{z + 4}\\7(z + 4) = 9(z - 1)\\7z + 28 = 9z - 9\\7z - 9z = -9 - 28\\-2z = -37\\z = 37/2\\z = 18.5$

So z is equal to 18.5

3 0

2 years ago

Omg, I need help! A builder is buying property where she can build new houses. The line plot shows the sizes for each house. 1/6

klemol [59]

Answer:

Average size of the lots = ⅓ acre

Step-by-step explanation:

The question incomplete without specifying what we are to determine.

Question:A builder is buying property where she can build new houses. The line plot shows the sizes for each house. 1/6 has 6 X's 1/3 has 3 X's and 1/2 has 6 X's. Organize the information in a line plot. What is the average size of the lots? _________ acre

Help anyone?

Solution:

We are asked to organize the information in a line plot. See attachment for the line plot.

Given: 1/6 has 6 X's 1/3 has 3 X's and 1/2 has 6 X'sIn no particular order, the sizes of the lots are:1/6, 1/6, 1/6, 1/6, 1/6, 1/6, 1/3, 1/3, 1/3, 1/2, 1/2, 1/2, 1/2, 1/2 and 1/2 acre.

Let's count the number of lot for each size given.

For 1/6: there are 6 X's on the line plot of 1/6 number of lot for 1/6

= the lot × number of times it occurs

= (1/6) × 6 = 6/6 = 1 acre

For 1/3: there are 3 X's on the line plot of 1/3 number of lot for 1/3 = the lot × number of times it occurs

= (1/3) × 3 = 3/3 = 1 acre

For 1/2: there are 6 X's on the line plot of 1/2 number of lot for 1/2

= the lot × number of times it occurs

= (1/2) × 6 = 6/2= 3 acres

To find average size of the lots, we would sum all lot for each given size then divide by the total number of lots given.Sum of all lot for each given size = 1+1+3

Sum of all lot for each given size = 5

The total number of lots given = 15

Average size of the lots = 5/15 = 1/3

Average size of the lots = ⅓ acre