Hello there!
y = 7x + 43
y = 2x + 13
We wanna solve y = 7x + 43 for y in y = 2x + 13
What does that even mean? Well it simply means that we gonna replace y by 7x + 43.
y = 2x + 13
7x + 43 = 2x + 13
Subtract 2x on both sides
7x + 43 - 2x = 2x + 13 - 2x
5x + 43 = 13
Now we can subtract 43 on both sides
5x + 43 - 43 = 13 - 43
5x = -30
Then divide both sides by 5
5x/5 = -30/5
x = -6
Now since we have the value for x, we gonna use that value to find y.
We can do that by substituting -6 for x in y = 7x + 43
But what does that mean? It means that in y = 7x + 43, we gonna replace the x by -6
y = 7x + 43
y = 7(-6) + 43
y = -42 + 43
y = 1
Thus,
The answer is: x = -6 and y = 1
The correct answer is option A (-6,1).
Let me know if you have questions about the answer. As always, it is my pleasure to help students like you.