Question

2x+4y=22
2x+2y=15 Work out x and y

Answer 1

To solve for x and y in the system of equations:
2x + 4y = 22
2x + 2y = 15

We can use the method of elimination to eliminate one of the variables.

We can subtract the second equation from the first equation to eliminate x:
(2x + 4y) - (2x + 2y) = 22 - 15

Simplifying the equation gives:
2y = 7

Finally, we can solve for y by dividing both sides of the equation by 2:
y = 7/2

Now that we have found the value of y, we can substitute it back into one of the original equations to solve for x. Let's use the second equation:
2x + 2y = 15

Substituting y = 7/2 gives:
2x + 2(7/2) = 15

Simplifying the equation gives:
2x + 7 = 15

Subtracting 7 from both sides of the equation gives:
2x = 8

Finally, we can solve for x by dividing both sides of the equation by 2:
x = 4

So, the solution to the system of equations 2x + 4y = 22 and 2x + 2y = 15 is x = 4 and y = 7/2.

Answer 2

4 and y = 7/2.

Explanation:

To solve this system of equations, you can use the method of elimination.

First, we can eliminate the variable "x" by subtracting the second equation from the first equation:

(2x + 4y) - (2x + 2y) = 22 - 15

This simplifies to:

2y = 7

Next, we can solve for "y" by dividing both sides of the equation by 2:

2y/2 = 7/2

This gives us:

y = 7/2

Now that we have the value of "y," we can substitute it back into one of the original equations to solve for "x." Let's use the second equation:

2x + 2(7/2) = 15

Simplifying this equation:

2x + 7 = 15

Next, we can isolate the variable "x" by subtracting 7 from both sides:

2x = 15 - 7

This gives us:

2x = 8

Finally, we can solve for "x" by dividing both sides of the equation by 2:

2x/2 = 8/2

This gives us:

x = 4

So, the solution to the system of equations is x = 4 and y = 7/2.