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slega [8]
3 years ago
6

2x + 5y = -3 2x + 2y = 6

Mathematics
2 answers:
oee [108]3 years ago
8 0

Answer:

(6, - 3 )

Step-by-step explanation:

Given the 2 equations

2x + 5y = - 3 → (1)

2x + 2y = 6 → (2)

Subtracting (1) from (2) term by term will eliminate the x- term

(2x - 2x) + (2y - 5y) = 6 - (- 3), that is

- 3y = 9 ( divide both sides by - 3 )

y = - 3

Substitute y = - 3 in either of the 2 equations and solve for x

Substituting y = - 3 in (1)

2x + 5(- 3) = - 3

2x - 15 = - 3 ( add 15 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Solution is (6, - 3 )

Iteru [2.4K]3 years ago
4 0

Answer: x = 6 and y = -3

Step-by-step explanation: What we have in this question is a pair of simultaneous equations,

2x + 5y = -3 ———(1)

2x + 2y = 6 ———(2)

We shall use the elimination method to solve this since none of the variables has a coefficient of 1. We multiply equation (1) by 2 and multiply equation (2) by 5 {to eliminate the y variable). So we now have,

2x + 5y = -3 ——— x2

2x + 2y = 6 ——— x5

4x + 10y = -6 ———(3)

10x + 10y = 30 ——(4)

Subtract equation (3) from equation (4)

10x - 4x +(10y - 10y) = 30 - (-6)

6x = 30 + 6

6x = 36

Divide both sides of the equation by 6

x = 6

Having calculated that x = 6, substitute for the value of x into equation (1)

2x + 5y = -3

2(6) + 5y = -3

12 + 5y = -3

Subtract 12 from both sides of the equation

5y = -3 - 12

5y = -15

Divide both sides of the equation by 5

y = -3

Therefore x equals 6 and y equals -3

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4x+y=6<br> Graphs of equations in two variables
kirill [66]

Answer:

Well all u need to do is use the Graph using the slope and y - intercept

Slope: - 4

Y - intercept: 6 Hope this helps :)

Step-by-step explanation:


3 0
3 years ago
Please need help on this
dedylja [7]

Answer:

Step-by-step explanation:

the a = 30

4 0
4 years ago
Can someone help me get prepared for this DBA? [will give brainliest and a thanks]
DaniilM [7]
One way to determine the scale factor of a dilation is if you are using a graph then you can pick two corresponding points of the before and after and divide them and you can get the scale factor.

The second one is true because if you have 2 angle measures then you can automatically find the third because we know that all the angles of a triangle add up to 180 so lets say that one angle is 94 degrees and another is 38 degrees we would add those two up to get 132 and then we would subtract that from 180 to get the third angle which would be 48 degrees.

The third one, vertical angles have a common vertex, but they are never adjacent angles. Also, vertical angles are always congruent.
8 0
4 years ago
The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a block (rectangular prism) EF
morpeh [17]

Answer:

EF = 6m.

Step-by-step explanation:

Given that:

1) All the edges of the pyramid in the model have length 12m.

So, AB = 12m

2) E is the middle of AT, F is the middle of BT

So, EF is a line segment connecting the midpoints of ΔATB

So, by applying The Triangle Mid-segment Theorem

EF // AB and EF = 0.5 AB

So, EF = 0.5 AB = 0.5 * 12 = 6m

====================================

The Triangle Mid-segment Theorem:

The line segment connecting the midpoints of any two sides of a triangle has the following properties:

1) The line segment will be parallel to the third side.

2) The length of the line segment will be a half of the length of the third side.

8 0
3 years ago
0.4b+1.3=0.4(b-5) solve equation
Ivan

Answer:

Step-by-step explanation:

At first sight this equation has 3 terms.  Multiply all 3 of them by 10 to remove the fractions:

4b + 13 = 4(b - 5)

Carrying out the multiplication, we get:

4b + 13 = 4b - 20

This can never be true (13 is never equal to -20), so this equation has NO SOLUTION.

4 0
3 years ago
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