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Effectus [21]
3 years ago
9

Find the solution of this system of equations 4x + y = 3 4x - y = -5

Mathematics
2 answers:
Blababa [14]3 years ago
6 0
-1/4 is the answer.
laiz [17]3 years ago
4 0

Answer:

y = 7/2

x = -1/8

Step-by-step explanation:

4x + y = 3-----------eqn 1

4x - y = -5----------eqn 2

Let's pick eqn 1

4x + y = 3

Let's make y the subject of the formula

y = 3 -4x

Since y = 3 - 4x, substitute the value of y into eqn 2

4x - ( 3 - 4x) = -5

Using the - to open the bracket

4x - 3 + 4x = -5

16x - 3 = -5

16x = -5 + 3

16x = -2

Divide through by 16 to get the value of x

16x/ 16 = -2/16

x = -1/8

Since we've gotten the value for x, find y using eqn 1

4x + y = 3

4(-1/8) + y = 3

-4/8 + y = 3

y = 3 + 4/8

LCM is 8

y = 24 + 4 / 8

y = 28/8 ( using 4 to divide)

y = 7/2

x = -1/8

y = 7/2

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The points (0,2) and (1,5) are on a line which of these points is on the same line
katrin [286]

Answer:

y = 3x + 2

Step-by-step explanation:

The equation for two points on a line is generated from the straight line equation y = mx + b ---------------- eqn (i)

where m, the slope = (y2 - y1) / (x2 - x1)  

therefore for (0,2) and (1,5) m = (5 - 2)/(1 - 0) = 3

This implies that eqn (i) can be rewritten as:

y = 3x + b ------------------- eqn (ii)

pickintg the point (0,2) and substituting into eqn (ii)

2 = 3(0) + b

this implies that b = 2

for confirmation with (1,5)

5 = 3(1) + b

b = 5 - 3 = 2

hence m = 3, b = 2

the equation is y = 3x + 2

6 0
3 years ago
In science class, Logan estimates the volume of a sample to be 42 mL. The actual volume of the sample is 48 mL. Find the percent
galina1969 [7]

Answer:

Percent of error of Logan's Estimate is 12.5%

Step-by-step explanation:

Given:

Actual Volume of sample =48 mL

Estimated Volume of sample = 42 mL

We need to find the percent errors of Logan estimate.

To calculate percent of error below are the steps.

Step 1: Subtract the Actual value from the estimated value.

Step 2: Take the absolute value of step 1

Step 3: Divide that answer by the Actual value.

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

Now Substituting the values we get;

Step 1: To Subtract Actual Volume with Estimated Volume

Estimated Volume of sample - Actual Volume of sample = 42 - 48 = -6 mL

Step 2: Find Absolute value we get;

|-6| = 6

Step 3 : Divide that answer by the Actual volume.

\frac{6}{48}=0.125

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

0.125\times 100 = 12.5\%

Hence Percent of error of Logan's Estimate is 12.5%

5 0
3 years ago
Please help me..will give all the good stuff
Anika [276]

1. 14 loaves are needed for 63 customers

2.  90 loaves

3. 4.5 loaf

Step by Step:

9/2= 4.5

4.5x4= 18

27/4.5=6

14x4.5=63

I multiplied and divided everything by 4.5 so one loaf of bread is 4.5.

(Correct me if I'm wrong)

I hope this helped! :)

6 0
3 years ago
Explain the steps that are necessary to solve 4x - 2(x + 3) = x + 1
Sidana [21]
So you would distribute what's in the parenthesis and end up with 4x-2x-6=x+1, then you combine like terms and end up with 2x-6=x+1, now you can add 6 to both sides or subtract 1 both sides (basically anything goes for this step just make sure you apply the same thing on both sides) so I'll add 6 and continue just to show you... then you end up with 2x=x+7 then you subtract 1x on both sides to get x=7. sorry it's a lot hopefully you get it know!
8 0
3 years ago
Read 2 more answers
Here are 2 bowls. One of them has 25 gems and the other has 15 gems. Some of them are red.All the gems from the two bowls are no
spin [16.1K]

Answer:

the answer is \frac{25}{15}\\ Hope this helps :}

Step-by-step explanation:

Here are 2 bowls. One of them has 25 gems and the other has 15 gems. Some of them are red. All the gems from the two bowls are now put into a third bowl. What fraction of the gems in the third bowl will be red?

7 0
3 years ago
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