Question

Can i get some help with math plz

Answer 1

Answer:

D) (1,8)

Step-by-step explanation:

1. Solve 5x + y = 13 for y.

• $5x + y = 13$
• $5x + y - 5x = 13 - 5x$
• $y = -5x + 13$

2. Substitute -5x + 13 for y in 10x - 3y = -14.

• $10x-3y=-14$
• $10x-3(-5x+13)=-14$
• $25x-39=-14$
• $25x - 39 + 39 = -14 + 39$
• $25x = 25$
• $\frac{25x}{25} = \frac{25}{25}$
• $x = 1$

3. Alright, we now have our x-coordinate, so the point looks like this so far: (1,y).

4. Substitute 1 for x in y = -5x + 13

• $y = -5x + 13$
• $y=-5(1)+13$
• $y = -5 + 13$
• $y = 8$

5. Okay, we have our x-coordinate and y-coordinate, so the point will look like this: (1,8).

Therefore, the intersection of the two lines is at (1,8).