All categories

3 years ago

Solve the system of equations algebraically. Verify your

Mathematics

2 answers:

xz_007 [3.2K]3 years ago

8 0

Answer:

The solution is the point (0.5,-3)

Step-by-step explanation:

we have

$y=4x-5$ ----> equation A

$y=-3$ ----> equation B

Solve the system by substitution

Substitute equation B in equation A

$-3=4x-5$

Solve for x

Adds 5 both sides

$-3+5=4x$

$2=4x$

Divide by 4 both sides

$x=0.5$

therefore

The solution is the point (0.5,-3)

<em>Verify your answer using the graph</em>

using a graphing tool

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is (0.5,-3)

therefore

The solution is the point (0.5,-3)

see the attached figure

Arada [10]3 years ago

8 0

Answer:

Since y= -3, just put that in the equation.

-3 = 4x - 5

+5 +5

2 = 4x

/4 /4

x=1/2

You might be interested in

At any point in time, there could be bicycles, tricycles, and

Aleksandr-060686 [28]

Answer:

There may be 1 or 3 tricycles in the parking lot.

Step-by-step explanation:

Since at any point in time, there could be bicycles, tricycles, and cars in the school parking lot, and today, there are 53 wheels in total, if there are 15 bicycles, tricycles, and cars in total, to determine how many tricycles could be in the parking lot, the following calculation must be performed:

13 x 4 + 1 x 3 + 1 x 2 = 57

11 x 4 + 1 x 3 + 3 x 2 = 53

10 x 4 + 3 x 3 + 2 x 2 = 53

8 x 4 + 5 x 3 + 2 x 2 = 51

10 x 2 + 1 x 3 + 4 x 4 = 39

9 x 3 + 1 x 2 + 5 x 4 = 49

Therefore, there may be 1 or 3 tricycles in the parking lot.

6 0

2 years ago

Solve the simultaneous equation<br> 4x-y=9 <br> 2x-3y= -23

MrMuchimi

Answer:

x = 5

y = 11

Step-by-step explanation:

y = 4x - 9

2x -3(4x - 9) = -23

2x - 12x + 27 = -23

-10x = -23 -27

-10x = -50

minus cancels out

x = 5

y = 4(5) -9

y = 20 - 9

y = 11

4 0

2 years ago

How do I calculate f(x) from a graph

slamgirl [31]

Locate the number 2 on the x axis, draw a vertical line to the graph of the function, and then draw a horizontal line to the y axis, as shown below. The coordinates of the point are (2, f(2)). The y value of the point is f(2). Read the y value of this point on the y axis

4 0

3 years ago

What is the amount of sales tax owned on a $6 book if the tax rate is 5%?

hodyreva [135]

6/100 = 0.06
0.06 x 5 = 0.3
$0.30

5 0

2 years ago

Which operation will solve the following word problem? Jeff earns $14.00 per hour, Tom earns half as much as Jeff. How much does

disa [49]

Answer:

The correct option is (d).

Step-by-step explanation:

Given that,

Jeff earns $14.00 per hour.

Tom earns half as much as Jeff.

We need to find the amount earn by Tom per hour.

Tom's amount = Jeff's amount/2

So,

$T=\dfrac{14}{2}\\\\T=\$7$

So, Tom earn $7 per hour. Hence, division operation is used. Jeff's amount is divided by 2.

5 0

2 years ago