All categories

1 year ago

Determine the solution, if it exists, for each system of linear equations. Verify your solution on the coordinate plane.

Mathematics

1 answer:

melisa1 [442]1 year ago

4 0

Answer:

(x, y) = (2, 1)

Step-by-step explanation:

Adding the two equations gives ...

2y = 2

y = 1 . . . . . divide by 2

Subtracting the second equation from the first gives ...

0 = 6x -12

0 = x -2 . . . . divide by 6

2 = x

The solution is (x, y) = (2, 1).

The attached graph verifies this solution.

You might be interested in

Eighteen boys joined a group of p students in the auditorium. If the ratio of boys to girls was then 5:4 write and algebraic exp

ycow [4]

Answer: The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Number of boys added: 18
Ratio of boys to girls: 5:4

So, the total number of boys is:

x + 18

Number of girls = y

Number of boys / number of girls = 5/4

(x+18) /y = 5/4

Solving for "y"

4 (x +18) =5 y

4x +72 = 5y

(4x +72) /5 = y

The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

8 0

2 years ago

An $42 item was marked down by 50% what is the new cost of the item?

Nataly_w [17]

Answer:

New Cost of item is $\$ 21$

Step-by-step explanation:

Given:

Original Cost of item = $\$ 42$

Item was marked down by $50\%$

To Calculate Cost after $50\%$ marked down we need to multiply original cost by 50 and then divide by hundred.

Cost after marked down = $\frac{42 \times 50}{100}= \$21$

Now New cost of the item is calculated by Subtracting Cost after $50\%$ marked down by Original Cost of item.

New cost of the item = $\$ 42 - \$ 21 = \$21$

7 0

2 years ago

Which pair of expressions is equivalent?

dlinn [17]

Answer:

Step-by-step explanation:

sorry if i am wrong

6 0

2 years ago

Plz can you answer this Q quickly.?

stealth61 [152]

y=5/6+3

I am not positive on this answer I am sorry if it is wrong

5 0

3 years ago

A certain company changes for teling a rectangular room include the cost of the material used and a flat rate of instalitation.T

nika2105 [10]

Answer:

nknknStep-by-step explanation:

5 0

2 years ago