Question

−2x−2y= −28 2, x, plus, 4, y, equals, 42 2x 4y= 42

Answer 1

The values of x and y that satisfy both equations are x = 7 and y = 7.

Step-by-step explanation:

Let's solve the system of linear equations step by step.

Given:
1) −2x − 2y = −28
2) 2x + 4y = 42

First, it might be helpful to simplify the equations. We can divide the first equation by -2 and the second equation by 2:

1) x + y = 14
2) x + 2y = 21

Now let's solve the system using the method of substitution or elimination. Let's use the elimination method since if we subtract the first simplified equation from the second one, we eliminate the x variable:

(x + 2y) - (x + y) = 21 - 14

Which simplifies to:

x + 2y - x - y = 21 - 14

Removing like terms (x - x and 2y - y):

y = 7

Now we have the value of y, we can substitute it back into either of the two simplified equations to find the value of x. Let's use the first simplified equation:

x + y = 14
x + 7 = 14

Subtract 7 from both sides:

x = 14 - 7
x = 7

So the solution to the system of equations is:

x = 7
y = 7

Therefore, the values of x and y that satisfy both equations are x = 7 and y = 7.

Answer 2

Answer: the solution to the system of equations is x = 7 and y = 7.

Step-by-step explanation: To solve the system of equations:

Equation 1: -2x - 2y = -28

Equation 2: 2x + 4y = 42

We can use the method of elimination to find the values of x and y.

First, let's multiply Equation 1 by 2 to eliminate the x term:

Equation 1: -4x - 4y = -56

Equation 2: 2x + 4y = 42

Adding Equation 1 and Equation 2:

(-4x - 4y) + (2x + 4y) = -56 + 42

Simplifying the equation:

-2x = -14

Dividing both sides of the equation by -2:

x = 7

Now that we have the value of x, we can substitute it back into Equation 2 to find the value of y:

2(7) + 4y = 42

Simplifying the equation:

14 + 4y = 42

Subtracting 14 from both sides of the equation:

4y = 28

Dividing both sides of the equation by 4:

y = 7