Question

How many solutions will the following system of linear equations have? –2x + 4y = –7 y= -1/2x + 5 A. 0 B. 1 C. 2 D. infinite

Answer 1

B. 1

Explanation:

they only cross at one point... look below

Answer 2

B. 1

EXPLANATION

The given system of equations is;

–2x + 4y = –7

y= -1/2x + 5

We rewrite the first equation is slope intercept form:

4y = 2x–7

`y = (1)/(2)x - (7)/(4)`

The two equations have different slopes.

This means that they will intersect at one point in the XY plane.

Hence the system has a unique solution.