Question

what is the solution to this system of equations?

y= 3x + 5
y= -x + 3

a// (2.1, 11.3)
b// (-2.1, 5.1)
c// (-0.5, 3.5)
d// (0.5, 2.5)

Answer 1

Answer:

c

Step-by-step explanation:

Since both equations express y in terms of x we can equate the right sides

3x + 5 = - x + 3 ( add x to both sides )

4x + 5 = 3 ( subtract 5 from both sides )

4x = - 2 ( divide both sides by 4 )

x = - 0.5

substitute x = - 0.5 in either of the 2 equations

using y = - x + 3 then y = 0.5 + 3 = 3.5

solution is (- 0.5, 3.5 ) → c