Question

The point at which two lines 3x+ 4y = 30 and 7x - 2y = 35 cut each other is​

Answer 1

Step-by-step explanation:

First of all, we know that any point (x,y) on the y-axis has zero (0) as its x-coordinate; therefore, the x-coordinate of the point of intersection of the line whose equation is 5x + 3y = 15 and the y-axis is 0.

We also know that the coordinates (x, y) of any point on the given line has to satisfy its equation: 5x + 3y = 15.

Therefore, we can find the y-coordinate of the point of intersection of the line whose equation is 5x + 3y = 15 and the y-axis as follows:

5x + 3y = 15

5(0) + 3y = 15

0 + 3y = 15

3y/3 = 15/3

y = 5

Therefore, the line whose equation is 5x + 3y = 15 intersects the y-axis at the point (0, 5).