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2 years ago

Does (2,-3) satisfies the equation 5x+3y=1

Mathematics

2 answers:

Korvikt [17]2 years ago

7 0

Answer: Yes

Step-by-step explanation: We're going to have to substitute

in the coordinates of that ordered pair into the equation.

I am going to substitute in the x and substitute in the y.

So it's really 5(2) + 3(-3) = 1.

From here it should be pretty straightforward,

all we are doing is evaluating the statement.

Simplifying on the left we have 10 + -9 = 1 or 1 = 1.

Now we know that the ordered pair (2, -3) satisfies this equation.

True [87]2 years ago

6 0

Yes it does satisfy the equation

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2 years ago

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2 years ago

An orchard has 651 orange trees. The number of rows exceeds the number of trees per row by 10. How many trees are there in a row

natima [27]

Answer:

The number of trees in each row is 21.

Step-by-step explanation:

Let us assume the number of trees in each row = m

So, the number of rows in the orchard = Number of trees in each row + 10

or, total number of trees in each row = (10 +m)

Now, Total number of Trees = Number of Rows x Number of trees in 1 row

⇒ 651 = m (m + 10)

$651 = m^2 + 10m\\\implies m^2 + 10m - 651 =0\\or, m^2 + 31m 21m - 651 =0\\or, m(m +31) -21(m+31) =0\\\implies (m +31) (m-21) = 0$

⇒ (m +31) = 0, or (m-21) = 0

⇒ m= -31, or m = 21

Now, as m = The number of trees in each row, so m ≠ -31

So, m = 21

Hence, the number of trees in each row is m = 21.

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3 years ago

The equation's X-y= 2, -2y=-2, X+ y = 2, and x+2y=-2 are shown on the graph below.

ziro4ka [17]

Answer:

A.) x-y=2 and x+2y=-2

Step-by-step explanation:

For option A, we have:

x-y=2

x+2y=-2

Subtract the first equation from the second, to get:

2y--y=-2-2

This implies that:

2y+y=-2-2

Simplify to get:

3y=-4

Divide both sides by 3 to get:

$y = - \frac{4}{3} = - 1.3$

We substitute y=-1.3 into the first equation to get:

x--1.3=2

x+1.3=2

x=2-1.3

x=0.7

The solution is (0.7,-1.3), which is approximately (0.7, -1.4)

By inspection, all the other factors have solutions not close to (0.7, -1.4)

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2 years ago

Read 2 more answers