 Mathematics
26 February, 08:06

# A system of equations is shown below. Which of the following statements describes the graph of this system of equations in the (x, y) coordinate plane?3y - 5x = 156y - 10x = 30Select one:A. Two parallel lines with positive slopeB. Two parallel lines with negative slopeC. A single line with positive slopeD. A single line with negative slope

+3
1. 26 February, 09:05
0
C

Step-by-step explanation:

3y - 5x = 15 ... A

y = 5/3 * X + 15 ... slope 3/5, y intercept 15

6y - 10x = 30

(6y - 10x) / 2 = 30 / 2

3y - 5x = 15 ... B

y = 5/3 * x + 15 ... slope 3/5, y intercept 15

2. 26 February, 09:18
0
Option A. Two parallel lines with positive slope.

Step-by-step explanation:

Thinking process:

An equation of a straight line is written as:

ay = mx + c

where a = is the coefficient of y

m = the gradient of the line

c = y - intercept

Examining the two equations:

3y - 5x = 15 ... 1

6y - 10x = 30 ... 2

The equations can be rearranged as follows:

3y = 5x + 15

6y = 10 x + 30 or 2 (3y = 5 x + 15)

As seen from the expression, the equation (2) is twice the equation (1)

In addition, the equations are equal if (2) is reduced to lowest terms.