Question

what is the solution of the system of equations? y = –5x 6 y = –3x – 4 a. (–1.25, 12.25) b. (–19, 5) c. (–1, –1) d. (5, –19)

Answer 1

The solution of the system of equation is:

(5,-19)

Hence, option D is correct.

Explanation:

We are given system of linear equations as:

y = -5x+ 6

i.e. 5x+y=6-------(1)

and y = -3x-4

i.e. 3x+y= -4--------(2)

We will us the method of elimination to solve the following system of equation.

We subtract equation (2) from equation (1) to get:

2x=10

x=5 (on dividing both side by 5)

now on putting the value of x in equation (1) we get the value of y as:

y= -19

Hence, the solution of the system of equation is:

(5,-19)

Hence, option D is correct.

Answer 2

y = -5x + 6 = -3x - 4
-3x + 5x = 6 + 4
2x = 10
x = 5
y = -5(5) + 6 = -25 + 6 = -19
Solution is (5, -19)