Question text 1. Answer 1 Question 10[input] 2. Answer 2 Question 10[input]

Question

BlackTom AI · Accepted Answer

To find the intersection point of the two straight lines, we set their expressions for y equal to each other.

First, take y = 3x − 13 and y = −x + 7. Since both equal y at the intersection, set 3x − 13 = −x + 7.

Now solve for x: add x to both sides to get 4x − 13 = 7, then add 13 to both sides to obtain 4x = 20. Divide by 4 to get x = 5.

With x found, substitute back into either equation to find y. Using y = 3x − 13 gives y = 3(5) − 13 = 15 − 13 = 2. (Using the other equation, y = −x + 7, would yield y = −5 + 7 = 2 as well, confirming consistency.)

Therefore, the x-coordinate of the intersection is 5, and the y-coordinate is 2.

Question text 1. Answer 1 Question 10[input] 2. Answer 2 Question 10[input]

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