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rjkz [21]
4 years ago
11

Solve the system of equations by graphing. Check your solution. 5x+y=14 2x-y=7

Mathematics
1 answer:
Fudgin [204]4 years ago
6 0
ANSWER

(3,-1)

EXPLANATION

The given system of equations is :

5x+y=14

2x-y=7

For the first equation when x=0,

5(0)+y=14

y=14

The y-intercept is (0,14).

When y=0, 5x+0=14

x = \frac{14}{5} = 2 .8

The x-intercept is (2.8,0).

We plot the intercepts and draw a straight line through them to obtain the graph of 5x+y=14 as shown in the attachment.

We repeat the same process for the second equation 2x-y=7.

The intercepts are (0,-7) and (3.5,0)

The solution to the system is the point of intersection of the two straight lines.

The two straight lines intersected at

(3,-1)

Hence x=2, y=-1

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Help me answer this question.
neonofarm [45]

Answer:

<h2>8 units²</h2>

Step-by-step explanation:

Let side of the square = a

The , Area of square = a²

Now, Midpoint of Diagonal DB is E

And DE = 2 units

So, DB = 2 DE = 2 × 2 = 4 units

Now, using Pythagoras theorem in ∆ BCD

DB² = DC² + BC²

plug the values

{4}^{2}  =  {a}^{2}  +  {a}^{2}

Collect like terms

{4}^{2}  = 2 {a}^{2}

Evaluate the power

16 = 2 {a}^{2}

Swipe the side of the equation

2 {a}^{2}  = 16

Divide both sides of the equation by 2

\frac{2 {a}^{2} }{ 2 }  =  \frac{16}{2}

Calculate

{a}^{2}  = 8

Therefore, The area of the square is 8 sq.units.

Hope this helps..

Best regards!!

3 0
3 years ago
Find the solution of this system of equations<br> 4x - 5y = -12<br> -X + 5y = 18
Natalka [10]

4x - 5y = -12

-x + 5y = 18

Add the equations together:

4x + -x = 3x

-5y + 5y = 0

-12 + 18 = 6

So now you have:

3x = 6

Divide both sides by 3:

X = 2

Now you have the value of x, replace x with 2 in one of the equations and solve for y:

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8 -5y = -12

Subtract 8 from both sides:

-5y = -20

Divide both sides by -5:

Y = 4

The solution is x = 2 and y = 4 which is written as (2,4)

7 0
3 years ago
Mark’s Pool Repair charges $50 for a service call, plus $40/h for labour. Jennifer’s Pools and Spas charges $30 for a service ca
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Multiply each hourly rate by x ( time to complete the work) add it to the service call for each and then set the equations equal:

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Subtract 30 from both sides:

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Divide both sides by 5

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3 0
3 years ago
Food Mart<br>job<br>Tuesday to Friday<br>Pay: £56 for each day in pounds​
AURORKA [14]
You do 4 x 56 = 224. It’s just multiplication.
4 0
3 years ago
Read 2 more answers
Solve this equation 2x - 3=2x - 5
Alex
When you calculate 2x-3=2x-5 it’s going to lead as -3=-5, therefore this statement is inaccurate and doesn’t have a value of x, it doesn’t even have a solution.
5 0
3 years ago
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