Math, asked by jeet216840, 1 year ago

it guys pls its urgent ques is in pic

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Answers

Answered by mrrhuezzler02
1

Answer:

x = 3 and y = -1

Step-by-step explanation:

The problem to solve is:

The goal here is to solve

37x+41y=70 and  

41x+37y=86 for the variables x and y.

First, let's work on your first equation,37x+41y=70

This means, see if it can be simplified at all before attempting to solve it.

Multiply x and 37

Multiply x and 1

The x just gets copied along.

The answer is x

x

37*x evaluates to 37x

Multiply y and 41

Multiply y and 1

The y just gets copied along.

The answer is y

y

41*y evaluates to 41y

37*x+41*y evaluates to 37x+41y

So, all-in-all, your first equation can be written as: 37x+41y = 70

Now, let's work on your second equation,41x+37y=86 Multiply x and 41

Multiply x and 1

The x just gets copied along.

The answer is x

x

41*x evaluates to 41x

Multiply y and 37

Multiply y and 1

The y just gets copied along.

The answer is y

y

37*y evaluates to 37y

41*x+37*y evaluates to 41x+37y

So, all-in-all, your second equation can be written as: 41x+37y = 86

After this initial survey of the equations, the system of equations we'll set out to solve is:

37x+41y = 70 and 41x+37y = 86

Let's start by solving 37x+41y = 70 for the variable x.

Move the 41y to the right hand side by subtracting 41y from both sides, like this:

From the left hand side:

41y - 41y = 0

The answer is 37x

From the right hand side:

The answer is 70-41y

Now, the equation reads:

37x = 70-41y  

To isolate the x, we have to divide both sides of the equation by the other variables

around the x on the left side of the equation.

The last step is to divide both sides of the equation by 37 like this:

To divide x by 1

The x just gets copied along in the numerator.

The answer is x

37x ÷ 37 = x

To divide 70-41y by 37

divide each term in 70-41y by 37 term by term.

70 ÷ 37 =

To divide y by 1

The y just gets copied along in the numerator.

The answer is y

-41y ÷ 37 =

The solution to your equation is:

x =

Next, let's solve 41x+37y = 86 for the variable y.

Move the 41x to the right hand side by subtracting 41x from both sides, like this:

From the left hand side:

41x - 41x = 0

The answer is 37y

From the right hand side:

The answer is 86-41x

Now, the equation reads:

37y = 86-41x  

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

The last step is to divide both sides of the equation by 37 like this:

To divide y by 1

The y just gets copied along in the numerator.

The answer is y

37y ÷ 37 = y

To divide 86-41x by 37

divide each term in 86-41x by 37 term by term.

86 ÷ 37 =

To divide x by 1

The x just gets copied along in the numerator.

The answer is x

-41x ÷ 37 =

The solution to your equation is:

y =

Now, plug the earlier result, x=70/37-41/37y, in for x everywhere it occurs in  

y=86/37-41/37x.

This gives y=86/37-41/37(70/37-41/37y). Now all we have to do is solve this for y,to have our first solution.

86/37 evaluates to  

41/37 evaluates to  

70/37 evaluates to  

41/37 evaluates to  

Multiply y and

Multiply y and 1

The y just gets copied along.

The answer is y

y

41/37*y evaluates to  

70/37-41/37*y evaluates to  

Multiply by

we multiply by each term in term by term.

This is the distributive property of multiplication.

Multiply and

1

 × =

Multiply and

Multiply 1 and y

The y just gets copied along.

y

 × =

41/37*(70/37-41/37*y) evaluates to  

 - =

The answer is

86/37-41/37*(70/37-41/37*y) evaluates to  

Move the to the left hand side by subtracting from both sides, like this:

From the left hand side:

y - =

The answer is

From the right hand side:

 - = 0

The answer is

Now, the equation reads:

=  

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

The last step is to divide both sides of the equation by like this:

To divide y by 1

The y just gets copied along in the numerator.

The answer is y

 ÷ = y

 ÷ = -1

The solution to your equation is:

y = -1

Lastly, to find the solution for x, we plug this answer for y into the earlier result that

x=70/37-41/37y.

This gives x=70/37-41/37(-1). Now, simplify this.

70/37 evaluates to  

41/37 evaluates to  

Because of the minus sign

1 becomes - 1

The answer is -1

Multiply and -1

1

41/37*(-1) evaluates to  

70/37-41/37*(-1) evaluates to 3

x= 3

So, the solutions to your equations are:

x= 3 and y= -1


jeet216840: thnkx a lot bro
mrrhuezzler02: Bro mark Brainliest answer
mrrhuezzler02: Please Bro
jeet216840: k bro
jeet216840: but to mark brainliest there should be 2 ans
mrrhuezzler02: If any answers then mark be please
mrrhuezzler02: Thanks Bro
jeet216840: k bri
jeet216840: k bro
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