Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Solve the System of equations x = -2 ; y= -3 .(show your work step by step).

x+2y = 4
x +y = 1


Sagot :

Answer:

Determine the point of intersection by using substitution and solving for the variables.

Explanation:

Solving a system of equations imply we find the point of interception.

To do this, we must use substitution to find one variable, and use that value to determine the exact value of the other.

Here, we'll isolate

x

.

2

x

2

y

=

4

2

x

=

2

y

4

x

=

y

+

2

Now that we have our variable expression, we can sub this into the other equation and solve for

y

.

2

x

+

3

y

=

9

2

(

y

+

2

)

+

3

y

=

9

2

y

+

4

+

3

y

=

9

4

+

y

=

9

y

=

5

Now that we know our

y

value, we can sub it into any equation to solve for

x

.

x

=

y

+

2

x

=

(

5

)

+

2

x

=

5

+

2

x

=

~

3

Thus, our point of intersection is

(

~

3

,

5

)

.

If we graph the two equations, we can see the point of intersection is in fact

(

~

3

,

5

)

.

graph{(-2x-2y+4)(2x+3y-9)=0 [-8.875, 11.125, -0.36, 9.64]}

Hope this helps :)