Question

Please answer question in photo

Answer 1

x = 5

y = -4

Explanation:

To solve this equation, we can use substitution.

To use substitution, we can turn one equation into another in terms of x or y. This makes it easier, as it allows us to have one variable in our equation instead of two.

We can use 2x + y = 6, and make it an equation in terms of y, by solving for y.

2x + y = 6

y = 6 - 2x

Now that we have an equation for y, we can input this into the other equation we were given. We can think about this as y = y, thus any value of y can be used in place of y.

Using our new found value of y, and putting this into our other equation, we get

3x - 2y = 23

3x - 2(6 - 2x) = 23

3x - 12 + 4x = 23

3x + 4x = 23 + 12

7x = 35

x = 5

Therefore, x = 5.

To solve for y, we can use any equation, as now we have the value of x.

Using 2x + y = 6 we get

2x + y = 6

2(5) + y = 6

10 + y = 6

y = -4

Therefore, y = -4

Hope this helps!!

Answer 2

To solve the system of equations:

Equation 1: 3x - 2y = 23

Equation 2: 2x + y = 6

We can solve this system using either the substitution method or the elimination method. Let's use the elimination method:

First, let's multiply Equation 2 by 2 to make the coefficients of x in both equations the same:

Equation 1: 3x - 2y = 23

Equation 2: 4x + 2y = 12

Now, let's add the two equations together to eliminate y:

(3x - 2y) + (4x + 2y) = 23 + 12

7x = 35

Divide both sides of the equation by 7 to solve for x:

7x/7 = 35/7

x = 5

Substitute the value of x into Equation 2 to solve for y:

2(5) + y = 6

10 + y = 6

y = 6 - 10

y = -4

So the solution to the system of equations is x = 5 and y = -4.