Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
4x+5y=11
2x+6y=16
2x=16-6y
x=8-3y
4(8-3y)+5y=11
32-12y+5y=11
-7y=-21
y=3
4x+5(3)=11
4x+15=11
4x=-4
x=-1
(-1,3)
2x+6y=16
2x=16-6y
x=8-3y
4(8-3y)+5y=11
32-12y+5y=11
-7y=-21
y=3
4x+5(3)=11
4x+15=11
4x=-4
x=-1
(-1,3)
4x+5y = 11 and 2x+6y = 16
Let's start by solving 4x+5y = 11 for the variable x.
Move the 5y to the right hand side by subtracting 5y from both sides, like this:
From the left hand side:
5y - 5y = 0
The answer is 4x
From the right hand side:
The answer is 11-5y
Now, the equation reads:
4x = 11-5y
To isolate the x, we have to divide both sides of the equation by theother variables
around the x on the left side of the equation.
The last step is to divide both sides of the equation by 4 like this:
To divide x by 1
The x just gets copied along in the numerator.The answer is x4x ÷ 4 = x
To divide 11-5y by 4divide each term in 11-5y by 4 term by term.11 ÷ 4 =11/4
To divide y by 1
The y just gets copied along in the numerator.-5y ÷ 4 =The solution to your equation is:
x =Next, let's solve 2x+6y = 16 for the variable y.
Move the 2x to the right hand side by subtracting 2x from both sides, like this:
From the left hand side:
2x - 2x = 0The answer is 6yFrom the right hand side:
The answer is 16-2x
Now, the equation reads:
6y = 16-2x
To isolate the y, we have to divide both sides of the equation by theother variables
around the y on the left side of the equation.
The last step is to divide both sides of the equation by 6 like this:
To divide y by 1The y just gets copied along in the numerator.The answer is y6y ÷ 6 = yTo divide 16-2x by 6divide each term in 16-2x by 6 term by term.16 ÷ 6 =To divide x by 1The x just gets copied along in the numerator.-2x ÷ 6 =The solution to your equation is:
y =Now, plug the earlier result, x=11/4-5/4y, in for x everywhere it occurs in
y=8/3-1/3x.
This gives y=8/3-1/3(11/4-5/4y). Now all we have to do is solve this for y,to have our first solution.
8/3 evaluates to 1/3 evaluates to 11/4 evaluates to 5/4 evaluates to Multiply y andMultiply y and 1The y just gets copied along.The answer is yy5/4*y evaluates to 11/4-5/4*y evaluates to Multiply bywe multiply by each term in term by term.This is the distributive property of multiplication.Multiply and1 × =Multiply andMultiply 1 and yThe y just gets copied along.y × =1/3*(11/4-5/4*y) evaluates to - =The answer is8/3-1/3*(11/4-5/4*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 isFrom the right hand side:
- = 0The answer is
Now, the equation reads:
=
To isolate the y, we have to divide both sides of the equation by theother 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 1The y just gets copied along in the numerator.The answer is y ÷ = y ÷ = 3The solution to your equation is:
y = 3Lastly, to find the solution for x, we plug this answer for y into the earlier result that
x=11/4-5/4y.
This gives x=11/4-5/4(3). Now, simplify this.
11/4 evaluates to 5/4 evaluates to Multiply and 315/4*(3) evaluates to 11/4-5/4*(3) evaluates to -1x= -1So, the solutions to your equations are:
x= -1 and y= 3The answer is xThe answer is y
Let's start by solving 4x+5y = 11 for the variable x.
Move the 5y to the right hand side by subtracting 5y from both sides, like this:
From the left hand side:
5y - 5y = 0
The answer is 4x
From the right hand side:
The answer is 11-5y
Now, the equation reads:
4x = 11-5y
To isolate the x, we have to divide both sides of the equation by theother variables
around the x on the left side of the equation.
The last step is to divide both sides of the equation by 4 like this:
To divide x by 1
The x just gets copied along in the numerator.The answer is x4x ÷ 4 = x
To divide 11-5y by 4divide each term in 11-5y by 4 term by term.11 ÷ 4 =11/4
To divide y by 1
The y just gets copied along in the numerator.-5y ÷ 4 =The solution to your equation is:
x =Next, let's solve 2x+6y = 16 for the variable y.
Move the 2x to the right hand side by subtracting 2x from both sides, like this:
From the left hand side:
2x - 2x = 0The answer is 6yFrom the right hand side:
The answer is 16-2x
Now, the equation reads:
6y = 16-2x
To isolate the y, we have to divide both sides of the equation by theother variables
around the y on the left side of the equation.
The last step is to divide both sides of the equation by 6 like this:
To divide y by 1The y just gets copied along in the numerator.The answer is y6y ÷ 6 = yTo divide 16-2x by 6divide each term in 16-2x by 6 term by term.16 ÷ 6 =To divide x by 1The x just gets copied along in the numerator.-2x ÷ 6 =The solution to your equation is:
y =Now, plug the earlier result, x=11/4-5/4y, in for x everywhere it occurs in
y=8/3-1/3x.
This gives y=8/3-1/3(11/4-5/4y). Now all we have to do is solve this for y,to have our first solution.
8/3 evaluates to 1/3 evaluates to 11/4 evaluates to 5/4 evaluates to Multiply y andMultiply y and 1The y just gets copied along.The answer is yy5/4*y evaluates to 11/4-5/4*y evaluates to Multiply bywe multiply by each term in term by term.This is the distributive property of multiplication.Multiply and1 × =Multiply andMultiply 1 and yThe y just gets copied along.y × =1/3*(11/4-5/4*y) evaluates to - =The answer is8/3-1/3*(11/4-5/4*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 isFrom the right hand side:
- = 0The answer is
Now, the equation reads:
=
To isolate the y, we have to divide both sides of the equation by theother 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 1The y just gets copied along in the numerator.The answer is y ÷ = y ÷ = 3The solution to your equation is:
y = 3Lastly, to find the solution for x, we plug this answer for y into the earlier result that
x=11/4-5/4y.
This gives x=11/4-5/4(3). Now, simplify this.
11/4 evaluates to 5/4 evaluates to Multiply and 315/4*(3) evaluates to 11/4-5/4*(3) evaluates to -1x= -1So, the solutions to your equations are:
x= -1 and y= 3The answer is xThe answer is y
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
