How many solutions does this linear system have?

y = 2x – 5

–8x – 4y = –20

Given linear system of equation has only 1 solution.

Step-by-step explanation:

Given System of linear equation is,

y = 2x - 5

-8x - 4y = -20

rewriting the given system in standard form,

2x - y - 5 = 0

-8x - 4y + 20 = 0

We know that number of solution of the system of equation is determined by comparing the ratios of coefficient and constant term.

here coefficient of x that is

coefficient of y that is

constant term that is

we have,

Since,

We only have one unique solution.

Therefore, Given linear system of equation has only 1 solution.