This system has one solution. y=x2−3x+7y=3x−2 What is the y-coordinate of the solution? Enter your answer in the box.

Question
Answer:
Answer:
y = 7

Explanation:
The first given equation is:
y = x² - 3x + 7 ...........> equation I
The second given equation is:
y = 3x - 2 ..............> equation II

Substitute with equation I in equation II and solve for x as follows:
y = 3x - 2
x² - 3x + 7 = 3x - 2
x² - 3x + 7 - 3x + 2 = 0
x² - 6x + 9 = 0
(x-3)² = 0
This means that:
x = 3

Now, substitute with the value of x in equation II to get the y as follows:
y = 3x - 2
y = 3(3) - 2
y = 7

Hope this helps :)


solved
general 10 months ago 9296