Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
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 :)
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.